Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dq |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-475344450 = -1 · 2 · 310 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-320,2517] |
[a1,a2,a3,a4,a6] |
j |
-198259105/26082 |
j-invariant |
L |
3.220488011864 |
L(r)(E,1)/r! |
Ω |
1.6102440126215 |
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 |
24150a1 72450ca1 |
Quadratic twists by: -3 5 |