Atkin-Lehner |
2- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
15088c |
Isogeny class |
Conductor |
15088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
38230251536384 = 220 · 232 · 413 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21011,-1133870] |
[a1,a2,a3,a4,a6] |
Generators |
[343:5658:1] |
Generators of the group modulo torsion |
j |
250440136856937/9333557504 |
j-invariant |
L |
3.1434087332281 |
L(r)(E,1)/r! |
Ω |
0.39745024184791 |
Real period |
R |
1.3181560869159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886c1 60352k1 |
Quadratic twists by: -4 8 |