Atkin-Lehner |
2- 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
119852c |
Isogeny class |
Conductor |
119852 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-22554171718448 = -1 · 24 · 198 · 83 |
Discriminant |
Eigenvalues |
2- -1 -2 1 3 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3369,-239450] |
[a1,a2,a3,a4,a6] |
j |
-5619712/29963 |
j-invariant |
L |
0.56392024841679 |
L(r)(E,1)/r! |
Ω |
0.28195988067762 |
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 |
6308b1 |
Quadratic twists by: -19 |