Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5328o |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
766464768 = 28 · 37 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,826] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
9826000/4107 |
j-invariant |
L |
3.9831811972619 |
L(r)(E,1)/r! |
Ω |
1.4442447792699 |
Real period |
R |
1.3789841079693 |
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 |
1332c2 21312by2 1776h2 |
Quadratic twists by: -4 8 -3 |