Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9196g |
Isogeny class |
Conductor |
9196 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7140 |
Modular degree for the optimal curve |
Δ |
-8616872704 = -1 · 28 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 2 -1 3 11- 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2581,51537] |
[a1,a2,a3,a4,a6] |
j |
-4194304/19 |
j-invariant |
L |
3.9350960269329 |
L(r)(E,1)/r! |
Ω |
1.3116986756443 |
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 |
36784w1 82764m1 76a1 |
Quadratic twists by: -4 -3 -11 |