Atkin-Lehner |
2- 3- 5+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
125460p |
Isogeny class |
Conductor |
125460 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
1399343202000 = 24 · 310 · 53 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -6 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4443348,-3605069203] |
[a1,a2,a3,a4,a6] |
Generators |
[2189945569914947096:-79121736923849936777:704588860347904] |
Generators of the group modulo torsion |
j |
831777533546129637376/119971125 |
j-invariant |
L |
6.186712657188 |
L(r)(E,1)/r! |
Ω |
0.10398530563177 |
Real period |
R |
29.748014391665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998711384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41820b1 |
Quadratic twists by: -3 |