Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536bn |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-47825713523456 = -1 · 28 · 11 · 198 |
Discriminant |
Eigenvalues |
2- -1 1 0 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1925,-333671] |
[a1,a2,a3,a4,a6] |
j |
-65536/3971 |
j-invariant |
L |
1.1189945089295 |
L(r)(E,1)/r! |
Ω |
0.27974862839274 |
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 |
15884e1 3344h1 |
Quadratic twists by: -4 -19 |