Atkin-Lehner |
3+ 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
31365a |
Isogeny class |
Conductor |
31365 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101760 |
Modular degree for the optimal curve |
Δ |
76842204594255 = 33 · 5 · 173 · 415 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 -3 7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25050,-1460335] |
[a1,a2,a3,a4,a6] |
j |
64386214288581627/2846007577565 |
j-invariant |
L |
2.2831451301385 |
L(r)(E,1)/r! |
Ω |
0.3805241883565 |
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 |
31365b1 |
Quadratic twists by: -3 |