Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7056bz |
Isogeny class |
Conductor |
7056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-728755119858253824 = -1 · 217 · 39 · 710 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,165669,31832458] |
[a1,a2,a3,a4,a6] |
j |
596183/864 |
j-invariant |
L |
3.0913827490989 |
L(r)(E,1)/r! |
Ω |
0.19321142181868 |
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 |
882j1 28224gi1 2352x1 7056bn1 |
Quadratic twists by: -4 8 -3 -7 |