Atkin-Lehner |
2- 3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042cg |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
81000225276018048 = 27 · 310 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-390531,-93095199] |
[a1,a2,a3,a4,a6] |
j |
55988918938824481/688490554752 |
j-invariant |
L |
5.3513906363471 |
L(r)(E,1)/r! |
Ω |
0.19112109415387 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126dd2 6006ba2 |
Quadratic twists by: -3 -7 |