Atkin-Lehner |
2- 3- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9222j |
Isogeny class |
Conductor |
9222 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
130544566272 = 220 · 34 · 29 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3104,-64512] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:48:1] |
Generators of the group modulo torsion |
j |
3307482800902657/130544566272 |
j-invariant |
L |
7.0404099553196 |
L(r)(E,1)/r! |
Ω |
0.64117057911425 |
Real period |
R |
2.1961113577749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73776l1 27666c1 |
Quadratic twists by: -4 -3 |