Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675x |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-117060029296875 = -1 · 310 · 510 · 7 · 29 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 -2 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41250,3266406] |
[a1,a2,a3,a4,a6] |
j |
-1090355200/16443 |
j-invariant |
L |
2.3679615480707 |
L(r)(E,1)/r! |
Ω |
0.59199038705044 |
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 |
15225t1 45675bc1 |
Quadratic twists by: -3 5 |