Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15884h |
Isogeny class |
Conductor |
15884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
221616 |
Modular degree for the optimal curve |
Δ |
11869744275102736 = 24 · 112 · 1910 |
Discriminant |
Eigenvalues |
2- -3 3 0 11+ -5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130321,17332693] |
[a1,a2,a3,a4,a6] |
Generators |
[172:77:1] |
Generators of the group modulo torsion |
j |
2495232/121 |
j-invariant |
L |
3.2691825940518 |
L(r)(E,1)/r! |
Ω |
0.39697903789111 |
Real period |
R |
4.1175758440784 |
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 |
63536br1 15884c1 |
Quadratic twists by: -4 -19 |