Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14160h |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
226560 = 28 · 3 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 -1 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25,35] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
7023616/885 |
j-invariant |
L |
5.5288654827017 |
L(r)(E,1)/r! |
Ω |
3.031368858293 |
Real period |
R |
1.8238841068701 |
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 |
7080b1 56640bx1 42480h1 70800c1 |
Quadratic twists by: -4 8 -3 5 |