Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576bj |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
488448 |
Modular degree for the optimal curve |
Δ |
-1410650298809856 = -1 · 29 · 39 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -2 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69627,-7298782] |
[a1,a2,a3,a4,a6] |
j |
-100013648946632/3779391447 |
j-invariant |
L |
1.1730137875501 |
L(r)(E,1)/r! |
Ω |
0.14662674472264 |
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 |
108576bi1 36192b1 |
Quadratic twists by: -4 -3 |