Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975bg |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
9796870733203125 = 32 · 58 · 118 · 13 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 11- 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-55458,1628318] |
[a1,a2,a3,a4,a6] |
j |
225280/117 |
j-invariant |
L |
0.71859622499257 |
L(r)(E,1)/r! |
Ω |
0.35929790044913 |
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 |
117975bm1 117975ba1 |
Quadratic twists by: 5 -11 |