Atkin-Lehner |
2+ 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650u |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
72076685625000000 = 26 · 312 · 510 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-619542,-187095884] |
[a1,a2,a3,a4,a6] |
j |
2308813282982809/6327720000 |
j-invariant |
L |
0.68079043366422 |
L(r)(E,1)/r! |
Ω |
0.17019757716954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550bn1 19530cf1 |
Quadratic twists by: -3 5 |