Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
33840bw |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
52627968000 = 212 · 37 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52923,4686122] |
[a1,a2,a3,a4,a6] |
j |
5489965305721/17625 |
j-invariant |
L |
1.9594669153834 |
L(r)(E,1)/r! |
Ω |
0.97973345769358 |
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 |
2115e1 11280o1 |
Quadratic twists by: -4 -3 |