Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
72828t |
Isogeny class |
Conductor |
72828 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1468800 |
Modular degree for the optimal curve |
Δ |
-1367505501146185968 = -1 · 24 · 36 · 75 · 178 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44217,-56376675] |
[a1,a2,a3,a4,a6] |
j |
-117504/16807 |
j-invariant |
L |
0.24047089742806 |
L(r)(E,1)/r! |
Ω |
0.12023544223702 |
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 |
8092e1 72828z1 |
Quadratic twists by: -3 17 |