Atkin-Lehner |
2+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
125840r |
Isogeny class |
Conductor |
125840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-104698880 = -1 · 210 · 5 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77,418] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-26:1] |
Generators of the group modulo torsion |
j |
407484/845 |
j-invariant |
L |
3.225073347344 |
L(r)(E,1)/r! |
Ω |
1.3044669846121 |
Real period |
R |
0.6180825720144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000345779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62920j1 125840g1 |
Quadratic twists by: -4 -11 |