Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808h |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
306316178039808 = 210 · 36 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21675,894166] |
[a1,a2,a3,a4,a6] |
j |
62500/17 |
j-invariant |
L |
2.0343078832292 |
L(r)(E,1)/r! |
Ω |
0.50857697080729 |
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 |
41616o1 2312d1 1224d1 |
Quadratic twists by: -4 -3 17 |