Atkin-Lehner |
3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45675bg |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-4532101875 = -1 · 36 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -6 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267,3716] |
[a1,a2,a3,a4,a6] |
j |
-4629825/9947 |
j-invariant |
L |
1.2232842904274 |
L(r)(E,1)/r! |
Ω |
1.2232842901585 |
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 |
5075i1 45675z1 |
Quadratic twists by: -3 5 |