Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792h |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-55700685504 = -1 · 26 · 311 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 -5 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498,12134] |
[a1,a2,a3,a4,a6] |
j |
-292754944/1193859 |
j-invariant |
L |
1.9482411990608 |
L(r)(E,1)/r! |
Ω |
0.97412059953039 |
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 |
9792i1 4896l1 3264f1 |
Quadratic twists by: -4 8 -3 |