Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976be |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1258354422749952 = -1 · 28 · 32 · 113 · 177 |
Discriminant |
Eigenvalues |
2- 3- 2 5 11- 6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2277,1706463] |
[a1,a2,a3,a4,a6] |
j |
-5102271397888/4915446963867 |
j-invariant |
L |
4.6930122917713 |
L(r)(E,1)/r! |
Ω |
0.39108435764761 |
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 |
2244a1 35904br1 26928bl1 98736dk1 |
Quadratic twists by: -4 8 -3 -11 |