Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bd |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24468480 |
Modular degree for the optimal curve |
Δ |
-9.129455225473E+23 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8621899,44923150053] |
[a1,a2,a3,a4,a6] |
j |
69220143982029586694144/891548361862595049123 |
j-invariant |
L |
3.272327971847 |
L(r)(E,1)/r! |
Ω |
0.065446556208645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048bb1 22512s1 |
Quadratic twists by: -4 8 |