Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ei |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
261894124800 = 28 · 312 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -1 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4093,-96383] |
[a1,a2,a3,a4,a6] |
j |
1185154785280/40920957 |
j-invariant |
L |
2.3925460915547 |
L(r)(E,1)/r! |
Ω |
0.59813653584545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100r1 92400hz1 |
Quadratic twists by: -4 5 |