Atkin-Lehner |
2+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
55616f |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
15638913089536 = 218 · 112 · 793 |
Discriminant |
Eigenvalues |
2+ 1 -1 1 11+ -1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32801,2267711] |
[a1,a2,a3,a4,a6] |
Generators |
[50:869:1] [83:352:1] |
Generators of the group modulo torsion |
j |
14888751553801/59657719 |
j-invariant |
L |
10.801436381177 |
L(r)(E,1)/r! |
Ω |
0.70166620062583 |
Real period |
R |
0.64141588808798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616ba1 869d1 |
Quadratic twists by: -4 8 |