Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488be |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
758567939966928 = 24 · 316 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3303390,2310935461] |
[a1,a2,a3,a4,a6] |
Generators |
[-1138:67797:1] |
Generators of the group modulo torsion |
j |
341787165494501632000/65034974277 |
j-invariant |
L |
5.6931682710305 |
L(r)(E,1)/r! |
Ω |
0.39892281901995 |
Real period |
R |
3.5678381644572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496n1 |
Quadratic twists by: -3 |