Atkin-Lehner |
2- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
25520l |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
615654050000 = 24 · 55 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11+ -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-876001,-315284940] |
[a1,a2,a3,a4,a6] |
Generators |
[2751167726353282421920382928:61026994198190779531748158249:2068603714415757477629952] |
Generators of the group modulo torsion |
j |
4646415367355940880384/38478378125 |
j-invariant |
L |
6.3635622570814 |
L(r)(E,1)/r! |
Ω |
0.15605344593535 |
Real period |
R |
40.778095087486 |
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 |
6380c1 102080bu1 127600z1 |
Quadratic twists by: -4 8 5 |