Atkin-Lehner |
2+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776c |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2034515574784 = -1 · 218 · 73 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -1 7+ 11+ -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9068,339376] |
[a1,a2,a3,a4,a6] |
j |
-314570740401/7761061 |
j-invariant |
L |
1.652673200927 |
L(r)(E,1)/r! |
Ω |
0.82633658097245 |
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 |
83776bl1 1309c1 |
Quadratic twists by: -4 8 |