Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59696x |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-17895443378176 = -1 · 212 · 7 · 135 · 412 |
Discriminant |
Eigenvalues |
2- 0 1 7- 0 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1408,-202512] |
[a1,a2,a3,a4,a6] |
Generators |
[113:1183:1] |
Generators of the group modulo torsion |
j |
75365351424/4369004731 |
j-invariant |
L |
6.460232432061 |
L(r)(E,1)/r! |
Ω |
0.32991881836499 |
Real period |
R |
1.9581279007054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3731a1 |
Quadratic twists by: -4 |