Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950cm |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
2587950000000 = 27 · 36 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 6 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15755,-753253] |
[a1,a2,a3,a4,a6] |
j |
37966934881/227200 |
j-invariant |
L |
5.9680392297585 |
L(r)(E,1)/r! |
Ω |
0.42628851641112 |
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 |
3550a1 6390h1 |
Quadratic twists by: -3 5 |