Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362bc |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
19666566466483904 = 26 · 119 · 194 |
Discriminant |
Eigenvalues |
2- -2 -3 1 11- 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88272,-7515584] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:1436:1] |
Generators of the group modulo torsion |
j |
329474953/85184 |
j-invariant |
L |
5.8064355229314 |
L(r)(E,1)/r! |
Ω |
0.28227523118403 |
Real period |
R |
0.85708835516339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940724 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942f1 87362s1 |
Quadratic twists by: -11 -19 |