Atkin-Lehner |
2- 3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73950cu |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10656 |
Modular degree for the optimal curve |
Δ |
295800 = 23 · 3 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 2 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18,12] |
[a1,a2,a3,a4,a6] |
j |
25888585/11832 |
j-invariant |
L |
8.2628658661465 |
L(r)(E,1)/r! |
Ω |
2.7542886366732 |
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 |
73950ba1 |
Quadratic twists by: 5 |