Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840bt |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
1141418169548800 = 214 · 52 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 11- 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131369256,-579590874700] |
[a1,a2,a3,a4,a6] |
j |
285564033218841289/1300 |
j-invariant |
L |
4.2810212680774 |
L(r)(E,1)/r! |
Ω |
0.044593968148888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730h1 125840bi1 |
Quadratic twists by: -4 -11 |