Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
19080l |
Isogeny class |
Conductor |
19080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
1780392960 = 210 · 38 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-867,9614] |
[a1,a2,a3,a4,a6] |
j |
96550276/2385 |
j-invariant |
L |
2.9702474063686 |
L(r)(E,1)/r! |
Ω |
1.4851237031843 |
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 |
38160k1 6360b1 95400j1 |
Quadratic twists by: -4 -3 5 |