Atkin-Lehner |
2+ 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
6162a |
Isogeny class |
Conductor |
6162 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
351367676998416 = 24 · 36 · 136 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97714,11681380] |
[a1,a2,a3,a4,a6] |
j |
103181308766226828073/351367676998416 |
j-invariant |
L |
1.6232444344768 |
L(r)(E,1)/r! |
Ω |
0.54108147815893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49296bj2 18486v2 80106r2 |
Quadratic twists by: -4 -3 13 |