Atkin-Lehner |
5+ 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65975c |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7.0066578146729E+19 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1031917,24752616] |
[a1,a2,a3,a4,a6] |
Generators |
[-440:20056:1] [-1490:116803:8] |
Generators of the group modulo torsion |
j |
7777467846610411041/4484261001390625 |
j-invariant |
L |
11.412947829882 |
L(r)(E,1)/r! |
Ω |
0.16589757710363 |
Real period |
R |
17.198786186565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13195j2 |
Quadratic twists by: 5 |