Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
103320t |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
14106624 |
Modular degree for the optimal curve |
Δ |
-7.6926235647511E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5700162,42522208769] |
[a1,a2,a3,a4,a6] |
Generators |
[-94965:3727556:27] |
Generators of the group modulo torsion |
j |
-1756053718175067510784/65951848120293891315 |
j-invariant |
L |
7.000085210477 |
L(r)(E,1)/r! |
Ω |
0.074710819858504 |
Real period |
R |
7.8079779210408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440q1 |
Quadratic twists by: -3 |