Atkin-Lehner |
2+ 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6162j |
Isogeny class |
Conductor |
6162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5323968 = 26 · 34 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-350550,79857064] |
[a1,a2,a3,a4,a6] |
Generators |
[4898:337953:1] |
Generators of the group modulo torsion |
j |
4764001017396597244633/5323968 |
j-invariant |
L |
3.9509290475632 |
L(r)(E,1)/r! |
Ω |
1.0750772274688 |
Real period |
R |
7.3500376468122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49296u4 18486u3 80106bi4 |
Quadratic twists by: -4 -3 13 |