Atkin-Lehner |
2- 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
73080bf |
Isogeny class |
Conductor |
73080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
1359630562500000000 = 28 · 37 · 512 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-277023,1490722] |
[a1,a2,a3,a4,a6] |
j |
12598060883325136/7285400390625 |
j-invariant |
L |
0.91757993645782 |
L(r)(E,1)/r! |
Ω |
0.22939498048428 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360n1 |
Quadratic twists by: -3 |