Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15925u |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
1583158474625 = 53 · 78 · 133 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11786,487743] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:1016:1] |
Generators of the group modulo torsion |
j |
12310389629/107653 |
j-invariant |
L |
3.8673542360125 |
L(r)(E,1)/r! |
Ω |
0.84934318758743 |
Real period |
R |
2.2766734887212 |
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 |
15925x1 2275g1 |
Quadratic twists by: 5 -7 |