Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5328r |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
34957008 = 24 · 310 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -4 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,83] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1134:1] |
Generators of the group modulo torsion |
j |
5619712/2997 |
j-invariant |
L |
4.5691879442062 |
L(r)(E,1)/r! |
Ω |
1.8079365353727 |
Real period |
R |
2.5272944347375 |
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 |
1332d1 21312ck1 1776e1 |
Quadratic twists by: -4 8 -3 |