Atkin-Lehner |
5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117325v |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
86244656067578125 = 58 · 13 · 198 |
Discriminant |
Eigenvalues |
2 1 5- 2 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-165458,-21767381] |
[a1,a2,a3,a4,a6] |
j |
27258880/4693 |
j-invariant |
L |
5.7479602451547 |
L(r)(E,1)/r! |
Ω |
0.2394983161829 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117325f1 6175g1 |
Quadratic twists by: 5 -19 |