Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
6405j |
Isogeny class |
Conductor |
6405 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
83073650625 = 36 · 54 · 72 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3574,80747] |
[a1,a2,a3,a4,a6] |
Generators |
[43:62:1] |
Generators of the group modulo torsion |
j |
5046760173468889/83073650625 |
j-invariant |
L |
5.3420520789847 |
L(r)(E,1)/r! |
Ω |
1.0823226020089 |
Real period |
R |
1.6452433156464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102480bg2 19215r2 32025j2 44835k2 |
Quadratic twists by: -4 -3 5 -7 |