Atkin-Lehner |
2- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
125840ch |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8709120 |
Modular degree for the optimal curve |
Δ |
4.9758670402355E+20 |
Discriminant |
Eigenvalues |
2- 1 5- 4 11- 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25173320,48593482100] |
[a1,a2,a3,a4,a6] |
j |
3559589366328163617361/1003976272000000 |
j-invariant |
L |
3.8826889427569 |
L(r)(E,1)/r! |
Ω |
0.16177872301202 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15730m1 125840cq1 |
Quadratic twists by: -4 -11 |