Atkin-Lehner |
2+ 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832q |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-12063744 = -1 · 210 · 32 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-252] |
[a1,a2,a3,a4,a6] |
j |
-19307236/11781 |
j-invariant |
L |
3.391012784477 |
L(r)(E,1)/r! |
Ω |
0.84775319765443 |
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 |
31416a1 |
Quadratic twists by: -4 |