Atkin-Lehner |
2- 3- 7+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110124f |
Isogeny class |
Conductor |
110124 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
23996452607568 = 24 · 310 · 7 · 193 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144660,-21175999] |
[a1,a2,a3,a4,a6] |
j |
28702622783488000/2057309037 |
j-invariant |
L |
1.468809779665 |
L(r)(E,1)/r! |
Ω |
0.24480163117689 |
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 |
36708a1 |
Quadratic twists by: -3 |