Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26400b |
Isogeny class |
Conductor |
26400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.86475928255E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-221888008,-1272106648988] |
[a1,a2,a3,a4,a6] |
Generators |
[-101636579200983649282357799078209958225:-6021970461618706639036270346485491402:11818182739399569678116259989984375] |
Generators of the group modulo torsion |
j |
151020262560470148771848/35809491031875 |
j-invariant |
L |
4.5616057235052 |
L(r)(E,1)/r! |
Ω |
0.039117050693561 |
Real period |
R |
58.307127488219 |
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 |
26400ca4 52800cn4 79200dv4 5280o2 |
Quadratic twists by: -4 8 -3 5 |