Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97216bk |
Isogeny class |
Conductor |
97216 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-3734649856 = -1 · 210 · 76 · 31 |
Discriminant |
Eigenvalues |
2- 0 1 7- 6 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3332,-74088] |
[a1,a2,a3,a4,a6] |
Generators |
[349751032746515:2533249869429889:3662946598375] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
7.5855855264073 |
L(r)(E,1)/r! |
Ω |
0.31417349054315 |
Real period |
R |
24.144575385062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97216p1 24304m1 1984i1 |
Quadratic twists by: -4 8 -7 |