Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15884j |
Isogeny class |
Conductor |
15884 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
90288 |
Modular degree for the optimal curve |
Δ |
32880178047376 = 24 · 112 · 198 |
Discriminant |
Eigenvalues |
2- 3 -1 -4 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48013,-4039951] |
[a1,a2,a3,a4,a6] |
Generators |
[17328:409013:27] |
Generators of the group modulo torsion |
j |
45045504/121 |
j-invariant |
L |
7.1929831867136 |
L(r)(E,1)/r! |
Ω |
0.32257444496307 |
Real period |
R |
3.716446078846 |
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 |
63536p1 15884m1 |
Quadratic twists by: -4 -19 |