Atkin-Lehner |
2- 3+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123708b |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
381588212304 = 24 · 34 · 136 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2929,54274] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:135:1] [-30:338:1] |
Generators of the group modulo torsion |
j |
35995648/4941 |
j-invariant |
L |
8.1365630237385 |
L(r)(E,1)/r! |
Ω |
0.91519698098072 |
Real period |
R |
1.48175077719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
732a1 |
Quadratic twists by: 13 |