Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15904d |
Isogeny class |
Conductor |
15904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2258368 = -1 · 26 · 7 · 712 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -4 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14,80] |
[a1,a2,a3,a4,a6] |
j |
-5088448/35287 |
j-invariant |
L |
2.231840625985 |
L(r)(E,1)/r! |
Ω |
2.231840625985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15904b1 31808x2 111328j1 |
Quadratic twists by: -4 8 -7 |