Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19080j |
Isogeny class |
Conductor |
19080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1780392960 = 210 · 38 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-723,-7202] |
[a1,a2,a3,a4,a6] |
j |
55990084/2385 |
j-invariant |
L |
1.8462314886734 |
L(r)(E,1)/r! |
Ω |
0.92311574433669 |
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 |
38160h1 6360f1 95400f1 |
Quadratic twists by: -4 -3 5 |