Atkin-Lehner |
2+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800h |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-8299975872320000000 = -1 · 212 · 57 · 1110 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11- -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-488033,-191037937] |
[a1,a2,a3,a4,a6] |
j |
-7744/5 |
j-invariant |
L |
2.8084540404828 |
L(r)(E,1)/r! |
Ω |
0.08776418674706 |
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 |
96800n1 19360r1 96800bp1 |
Quadratic twists by: -4 5 -11 |