Atkin-Lehner |
2- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144v |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
686400 |
Modular degree for the optimal curve |
Δ |
-13152068864 = -1 · 28 · 116 · 29 |
Discriminant |
Eigenvalues |
2- 3 3 4 11- 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-584551,-172021102] |
[a1,a2,a3,a4,a6] |
j |
-48707390098512/29 |
j-invariant |
L |
10.445983304544 |
L(r)(E,1)/r! |
Ω |
0.086330440529609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14036g1 464f1 |
Quadratic twists by: -4 -11 |