Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235q |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-6199917992079075 = -1 · 37 · 52 · 118 · 232 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- 2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,15972,3707833] |
[a1,a2,a3,a4,a6] |
Generators |
[121:-2723:1] [-83:1345:1] |
Generators of the group modulo torsion |
j |
2883584/39675 |
j-invariant |
L |
10.16355505338 |
L(r)(E,1)/r! |
Ω |
0.31423814509461 |
Real period |
R |
0.6738224927384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41745j1 125235s1 |
Quadratic twists by: -3 -11 |