Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864c |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
68056287376 = 24 · 74 · 116 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 11- 6 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1976,30743] |
[a1,a2,a3,a4,a6] |
j |
12544 |
j-invariant |
L |
3.2211532329477 |
L(r)(E,1)/r! |
Ω |
1.0737177469682 |
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 |
47432o1 94864r1 784a1 |
Quadratic twists by: -4 -7 -11 |