Atkin-Lehner |
3+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96921i |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34272 |
Modular degree for the optimal curve |
Δ |
-2303133723 = -1 · 33 · 112 · 893 |
Discriminant |
Eigenvalues |
0 3+ 0 -2 11- 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-330,3264] |
[a1,a2,a3,a4,a6] |
Generators |
[56:400:1] |
Generators of the group modulo torsion |
j |
-1216512000/704969 |
j-invariant |
L |
4.6620979069571 |
L(r)(E,1)/r! |
Ω |
1.3508313782747 |
Real period |
R |
0.57521340489531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96921d2 96921h1 |
Quadratic twists by: -3 -11 |