Atkin-Lehner |
2+ 3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330q |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
512778240 |
Modular degree for the optimal curve |
Δ |
3.740315877168E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-213811656129,-38053382926864707] |
[a1,a2,a3,a4,a6] |
Generators |
[742565493081966543273629769082270931270839708179219439632173198378532114477069935311728427542070363852847683573093006315742110111727747131708799996899469096196371027156604177472283232872458862090249949177226342674150093836308229230:7679357253939237605232907240839684602098678689526988620686993699279923465287700855970575939217494172275940941393997854202224302245763829464462083834118596129862274524637569122738864080668709168969881186298457666932873362545143794346441:6942316682867314168319344977686244389856277886112239988257802607496136705744043787821491341659546619116525434484912460848894617419396958942432109641141227355035691531322780879091154594753731245451878081003643365586937631375] |
Generators of the group modulo torsion |
j |
1482826422731235940894391389702698769/5130748802699554561500119040 |
j-invariant |
L |
4.9364385570257 |
L(r)(E,1)/r! |
Ω |
0.0070208840461406 |
Real period |
R |
351.55391575932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110w1 |
Quadratic twists by: -3 |