Atkin-Lehner |
7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
47971n |
Isogeny class |
Conductor |
47971 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
536832 |
Modular degree for the optimal curve |
Δ |
-5643740179 = -1 · 78 · 11 · 89 |
Discriminant |
Eigenvalues |
2 2 3 7- 11- 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-669454,211051763] |
[a1,a2,a3,a4,a6] |
j |
-282031971470553088/47971 |
j-invariant |
L |
12.496628933814 |
L(r)(E,1)/r! |
Ω |
0.78103930837189 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853e1 |
Quadratic twists by: -7 |