Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950cq |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
39458495906370000 = 24 · 37 · 54 · 715 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-237380,43537047] |
[a1,a2,a3,a4,a6] |
j |
3246734888118025/86603008848 |
j-invariant |
L |
5.7990404709542 |
L(r)(E,1)/r! |
Ω |
0.36244002943455 |
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 |
10650f1 31950q2 |
Quadratic twists by: -3 5 |