Atkin-Lehner |
2+ 3+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8496b |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
297292032 = 28 · 39 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -4 -4 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-567,-5130] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:8:1] |
Generators of the group modulo torsion |
j |
4000752/59 |
j-invariant |
L |
2.2807528432338 |
L(r)(E,1)/r! |
Ω |
0.97924577570869 |
Real period |
R |
2.3290913270299 |
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 |
4248b1 33984bf1 8496d1 |
Quadratic twists by: -4 8 -3 |