Atkin-Lehner |
2+ 3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14790h |
Isogeny class |
Conductor |
14790 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-4642194607846377300 = -1 · 22 · 318 · 52 · 173 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 6 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,383306,49048076] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:2663:1] |
Generators of the group modulo torsion |
j |
6228194880193817499431/4642194607846377300 |
j-invariant |
L |
4.2767585126677 |
L(r)(E,1)/r! |
Ω |
0.15604134856804 |
Real period |
R |
1.1419939201785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118320bd1 44370bs1 73950ch1 |
Quadratic twists by: -4 -3 5 |