Atkin-Lehner |
2- 3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
37920q |
Isogeny class |
Conductor |
37920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
36397512000 = 26 · 36 · 53 · 792 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121526,16265724] |
[a1,a2,a3,a4,a6] |
j |
3101379573073698496/568711125 |
j-invariant |
L |
5.4743073448697 |
L(r)(E,1)/r! |
Ω |
0.9123845574802 |
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 |
37920b1 75840t2 113760w1 |
Quadratic twists by: -4 8 -3 |