Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600ba |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3796992 |
Modular degree for the optimal curve |
Δ |
355266894531250000 = 24 · 514 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42313300,-105940847625] |
[a1,a2,a3,a4,a6] |
Generators |
[3970501655456833912411230397190055797469400948894283451274173374543072239165420:-129506511067991632545265573649334841615726783806619619213271285091630297403233875:496062570278345299200936754899358421914109667454497093483425129305115124416] |
Generators of the group modulo torsion |
j |
33513083981967002812416/1421067578125 |
j-invariant |
L |
7.0612586471635 |
L(r)(E,1)/r! |
Ω |
0.059194360286344 |
Real period |
R |
119.28938184323 |
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 |
29900f1 23920p1 |
Quadratic twists by: -4 5 |