Atkin-Lehner |
3+ 7+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
14007a |
Isogeny class |
Conductor |
14007 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-296121987 = -1 · 37 · 7 · 23 · 292 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ -3 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-553,5262] |
[a1,a2,a3,a4,a6] |
Generators |
[12:14:1] |
Generators of the group modulo torsion |
j |
-18736316416000/296121987 |
j-invariant |
L |
2.6191114485437 |
L(r)(E,1)/r! |
Ω |
1.7321640749707 |
Real period |
R |
0.7560229098355 |
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 |
42021a1 98049u1 |
Quadratic twists by: -3 -7 |