Atkin-Lehner |
3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96921m |
Isogeny class |
Conductor |
96921 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-6994885491 = -1 · 310 · 113 · 89 |
Discriminant |
Eigenvalues |
2 3- 1 0 11+ 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,33,4023] |
[a1,a2,a3,a4,a6] |
j |
4096/7209 |
j-invariant |
L |
4.1626145479754 |
L(r)(E,1)/r! |
Ω |
1.0406536649164 |
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 |
32307h1 96921n1 |
Quadratic twists by: -3 -11 |