Atkin-Lehner |
2- 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33488w |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
1448824832 = 212 · 7 · 133 · 23 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 3 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-533,-4195] |
[a1,a2,a3,a4,a6] |
j |
4096000000/353717 |
j-invariant |
L |
2.9967851015206 |
L(r)(E,1)/r! |
Ω |
0.99892836717351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2093h1 |
Quadratic twists by: -4 |