Atkin-Lehner |
2- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710w |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
2106373750000000 = 27 · 510 · 134 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -6 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33381,-810581] |
[a1,a2,a3,a4,a6] |
Generators |
[269:2990:1] |
Generators of the group modulo torsion |
j |
144028734347329/73750000000 |
j-invariant |
L |
6.5968962274367 |
L(r)(E,1)/r! |
Ω |
0.3731350445784 |
Real period |
R |
1.2628319960505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710j1 |
Quadratic twists by: 13 |