Atkin-Lehner |
2- 3+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
15252a |
Isogeny class |
Conductor |
15252 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1216800 |
Modular degree for the optimal curve |
Δ |
8.0533452154252E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 0 3 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27285397,-54832361807] |
[a1,a2,a3,a4,a6] |
Generators |
[-80403:55738:27] |
Generators of the group modulo torsion |
j |
8775555032195144989278208/3145837974775464933 |
j-invariant |
L |
3.900446471701 |
L(r)(E,1)/r! |
Ω |
0.066058137899144 |
Real period |
R |
3.9363774555236 |
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 |
61008l1 45756f1 |
Quadratic twists by: -4 -3 |