Atkin-Lehner |
2- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15004d |
Isogeny class |
Conductor |
15004 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-878694256 = -1 · 24 · 116 · 31 |
Discriminant |
Eigenvalues |
2- -2 -3 1 11- -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-282,-2411] |
[a1,a2,a3,a4,a6] |
Generators |
[21:37:1] [29:121:1] |
Generators of the group modulo torsion |
j |
-87808/31 |
j-invariant |
L |
4.4137182914514 |
L(r)(E,1)/r! |
Ω |
0.57218615049501 |
Real period |
R |
3.8568901813118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60016k1 124a1 |
Quadratic twists by: -4 -11 |