Atkin-Lehner |
2+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
125504b |
Isogeny class |
Conductor |
125504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-2434608922624 = -1 · 225 · 372 · 53 |
Discriminant |
Eigenvalues |
2+ 2 -1 -4 1 6 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2719,50657] |
[a1,a2,a3,a4,a6] |
Generators |
[169:2304:1] |
Generators of the group modulo torsion |
j |
8477185319/9287296 |
j-invariant |
L |
8.7200155545124 |
L(r)(E,1)/r! |
Ω |
0.54142392500651 |
Real period |
R |
2.0132134751698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125504f1 3922a1 |
Quadratic twists by: -4 8 |