Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
14560t |
Isogeny class |
Conductor |
14560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-1164800 = -1 · 29 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,52] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
-8/2275 |
j-invariant |
L |
4.0501800092073 |
L(r)(E,1)/r! |
Ω |
2.1831983364757 |
Real period |
R |
0.46378974616496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14560p1 29120br1 72800c1 101920y1 |
Quadratic twists by: -4 8 5 -7 |