Atkin-Lehner |
3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675bc |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-7491841875 = -1 · 310 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1650,26131] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:202:1] [25:22:1] |
Generators of the group modulo torsion |
j |
-1090355200/16443 |
j-invariant |
L |
7.8326459766688 |
L(r)(E,1)/r! |
Ω |
1.3237307474712 |
Real period |
R |
0.49309158928481 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15225g1 45675x1 |
Quadratic twists by: -3 5 |