Atkin-Lehner |
2- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15004d |
Isogeny class |
Conductor |
15004 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-844425180016 = -1 · 24 · 116 · 313 |
Discriminant |
Eigenvalues |
2- -2 -3 1 11- -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2138,23241] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:31:1] [-4:121:1] |
Generators of the group modulo torsion |
j |
38112512/29791 |
j-invariant |
L |
4.4137182914514 |
L(r)(E,1)/r! |
Ω |
0.57218615049501 |
Real period |
R |
0.42854335347909 |
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 |
60016k2 124a2 |
Quadratic twists by: -4 -11 |