Atkin-Lehner |
3- 5+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
33495m |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3836472727152594375 = 34 · 54 · 710 · 11 · 293 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1352039,597610487] |
[a1,a2,a3,a4,a6] |
j |
273332269800298202451049/3836472727152594375 |
j-invariant |
L |
2.9875649191389 |
L(r)(E,1)/r! |
Ω |
0.24896374326262 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100485u2 |
Quadratic twists by: -3 |