Atkin-Lehner |
2+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
96832a |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
25383927808 = 224 · 17 · 89 |
Discriminant |
Eigenvalues |
2+ 0 4 0 6 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2188,38640] |
[a1,a2,a3,a4,a6] |
j |
4419017721/96832 |
j-invariant |
L |
4.7666586079598 |
L(r)(E,1)/r! |
Ω |
1.1916646695819 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832r1 3026a1 |
Quadratic twists by: -4 8 |