Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11616bd |
Isogeny class |
Conductor |
11616 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-2634041929728 = -1 · 212 · 3 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11- 6 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,-113973] |
[a1,a2,a3,a4,a6] |
j |
-5632/3 |
j-invariant |
L |
1.8104226043018 |
L(r)(E,1)/r! |
Ω |
0.30173710071697 |
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 |
11616f1 23232p1 34848w1 11616n1 |
Quadratic twists by: -4 8 -3 -11 |