Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272bc |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
11122655232 = 214 · 3 · 133 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-231721984,-1357762090828] |
[a1,a2,a3,a4,a6] |
j |
335942910769775677468978177/2715492 |
j-invariant |
L |
0.46434310533942 |
L(r)(E,1)/r! |
Ω |
0.038695257848435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8034d4 |
Quadratic twists by: -4 |