Atkin-Lehner |
2- 3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270bv |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
37459209375000 = 23 · 310 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-79007,-8522769] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:104:1] |
Generators of the group modulo torsion |
j |
74814838808586409/51384375000 |
j-invariant |
L |
7.8401866162877 |
L(r)(E,1)/r! |
Ω |
0.2847747609779 |
Real period |
R |
1.147132706647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6090a3 91350cd4 127890fg4 |
Quadratic twists by: -3 5 -7 |