Atkin-Lehner |
3- 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45045n |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5723136 |
Modular degree for the optimal curve |
Δ |
-1.0479178693852E+23 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11+ 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10007163,-19774739257] |
[a1,a2,a3,a4,a6] |
j |
-152029933359345706438656/143747307185904296875 |
j-invariant |
L |
4.0858761096156 |
L(r)(E,1)/r! |
Ω |
0.040858761098821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5005c1 |
Quadratic twists by: -3 |