Atkin-Lehner |
2+ 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792q |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
7309688832 = 216 · 38 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,27632] |
[a1,a2,a3,a4,a6] |
Generators |
[4:144:1] |
Generators of the group modulo torsion |
j |
12194500/153 |
j-invariant |
L |
4.6831608897873 |
L(r)(E,1)/r! |
Ω |
1.3276755066658 |
Real period |
R |
1.7636692347922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9792bv1 1224h1 3264b1 |
Quadratic twists by: -4 8 -3 |