Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4576h |
Isogeny class |
Conductor |
4576 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2720 |
Modular degree for the optimal curve |
Δ |
-2091122176 = -1 · 29 · 11 · 135 |
Discriminant |
Eigenvalues |
2- 2 1 5 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,320,-72] |
[a1,a2,a3,a4,a6] |
j |
7055792632/4084223 |
j-invariant |
L |
4.3938504556448 |
L(r)(E,1)/r! |
Ω |
0.87877009112896 |
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 |
4576e1 9152r1 41184k1 114400d1 |
Quadratic twists by: -4 8 -3 5 |