Atkin-Lehner |
5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385d |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
5532841351375 = 53 · 13 · 237 |
Discriminant |
Eigenvalues |
1 1 5+ -1 6 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6624,-174453] |
[a1,a2,a3,a4,a6] |
Generators |
[-5655:25512:125] |
Generators of the group modulo torsion |
j |
217081801/37375 |
j-invariant |
L |
7.4508496690995 |
L(r)(E,1)/r! |
Ω |
0.53542987830882 |
Real period |
R |
3.4789101108034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1495d1 |
Quadratic twists by: -23 |