Atkin-Lehner |
2- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50752j |
Isogeny class |
Conductor |
50752 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
5264244574630912 = 210 · 135 · 614 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 -6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-490096,-132013416] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:117:1] |
Generators of the group modulo torsion |
j |
12713561533627711488/5140863842413 |
j-invariant |
L |
2.4833232352421 |
L(r)(E,1)/r! |
Ω |
0.18044290262065 |
Real period |
R |
2.7524753804695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50752c1 12688d1 |
Quadratic twists by: -4 8 |