Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966bg |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7655599678340190096 = 24 · 38 · 1310 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1044959,389260343] |
[a1,a2,a3,a4,a6] |
j |
35861911358833/2175662736 |
j-invariant |
L |
7.3766148337774 |
L(r)(E,1)/r! |
Ω |
0.23051921352883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23322i2 5382g2 |
Quadratic twists by: -3 13 |