Atkin-Lehner |
2- 3+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792bh |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-2173353984 = -1 · 214 · 33 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -3 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,2272] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:51:1] |
Generators of the group modulo torsion |
j |
-221184/4913 |
j-invariant |
L |
4.9698577256578 |
L(r)(E,1)/r! |
Ω |
1.2288997889822 |
Real period |
R |
0.67402535859249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9792f1 2448l1 9792be2 |
Quadratic twists by: -4 8 -3 |