Atkin-Lehner |
2+ 3+ 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950g |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-174686625000 = -1 · 23 · 39 · 56 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 -3 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1308,8216] |
[a1,a2,a3,a4,a6] |
j |
804357/568 |
j-invariant |
L |
1.2872851533517 |
L(r)(E,1)/r! |
Ω |
0.64364257667641 |
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 |
31950bn1 1278g1 |
Quadratic twists by: -3 5 |