Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14160bc |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
5664000 = 28 · 3 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 5 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1765,-29137] |
[a1,a2,a3,a4,a6] |
Generators |
[-663:10:27] |
Generators of the group modulo torsion |
j |
2376642789376/22125 |
j-invariant |
L |
6.5468828251456 |
L(r)(E,1)/r! |
Ω |
0.73653453798221 |
Real period |
R |
1.4814609244443 |
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 |
3540d1 56640bp1 42480bg1 70800be1 |
Quadratic twists by: -4 8 -3 5 |