Atkin-Lehner |
5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15925i |
Isogeny class |
Conductor |
15925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-16173828125 = -1 · 59 · 72 · 132 |
Discriminant |
Eigenvalues |
-1 3 5+ 7- 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,120,-6128] |
[a1,a2,a3,a4,a6] |
j |
251559/21125 |
j-invariant |
L |
2.3554843621066 |
L(r)(E,1)/r! |
Ω |
0.58887109052664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3185d1 15925e1 |
Quadratic twists by: 5 -7 |