Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15576i |
Isogeny class |
Conductor |
15576 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-3987456 = -1 · 211 · 3 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11+ 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,96] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:27:8] |
Generators of the group modulo torsion |
j |
-2/1947 |
j-invariant |
L |
6.801497703146 |
L(r)(E,1)/r! |
Ω |
1.9687843477623 |
Real period |
R |
3.454668720257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31152c1 124608p1 46728i1 |
Quadratic twists by: -4 8 -3 |