Atkin-Lehner |
3+ 5- 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33495k |
Isogeny class |
Conductor |
33495 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2271877925625 = 36 · 54 · 72 · 112 · 292 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3402,22599] |
[a1,a2,a3,a4,a6] |
j |
4356383367125161/2271877925625 |
j-invariant |
L |
2.8845596071178 |
L(r)(E,1)/r! |
Ω |
0.72113990178214 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100485n2 |
Quadratic twists by: -3 |