Atkin-Lehner |
2+ 7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
65296a |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
56832 |
Modular degree for the optimal curve |
Δ |
12071728592 = 24 · 76 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 11+ -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2023,-35304] |
[a1,a2,a3,a4,a6] |
j |
57254027008000/754483037 |
j-invariant |
L |
0.71240831170034 |
L(r)(E,1)/r! |
Ω |
0.71240831467447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32648i1 |
Quadratic twists by: -4 |