Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
9408de |
Isogeny class |
Conductor |
9408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-116530348032 = -1 · 222 · 34 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-16353] |
[a1,a2,a3,a4,a6] |
j |
4913/1296 |
j-invariant |
L |
3.9507958713218 |
L(r)(E,1)/r! |
Ω |
0.49384948391523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9408s1 2352q1 28224gq1 9408ch1 |
Quadratic twists by: -4 8 -3 -7 |