Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800o |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
9653618000 = 24 · 53 · 136 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-563,-2222] |
[a1,a2,a3,a4,a6] |
j |
2048 |
j-invariant |
L |
2.0591110704196 |
L(r)(E,1)/r! |
Ω |
1.0295555352139 |
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 |
67600y1 33800ba1 200b1 |
Quadratic twists by: -4 5 13 |