Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
6930z |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21881345062500 = 22 · 310 · 56 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7088,47567] |
[a1,a2,a3,a4,a6] |
j |
54014438633401/30015562500 |
j-invariant |
L |
2.3536053910203 |
L(r)(E,1)/r! |
Ω |
0.58840134775506 |
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 |
55440do2 2310k2 34650bn2 48510ej2 |
Quadratic twists by: -4 -3 5 -7 |