Atkin-Lehner |
2- 3- 7+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
33306q |
Isogeny class |
Conductor |
33306 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
997996270754574 = 2 · 34 · 73 · 136 · 612 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 13+ 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-299144,-62981646] |
[a1,a2,a3,a4,a6] |
j |
2960497457395108154497/997996270754574 |
j-invariant |
L |
3.26631632626 |
L(r)(E,1)/r! |
Ω |
0.20414477039176 |
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 |
99918f2 |
Quadratic twists by: -3 |