Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20808bd |
Isogeny class |
Conductor |
20808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
22131343863376128 = 28 · 36 · 179 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-73695,2839714] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:3186:1] |
Generators of the group modulo torsion |
j |
2000 |
j-invariant |
L |
5.2493942229932 |
L(r)(E,1)/r! |
Ω |
0.33782133040845 |
Real period |
R |
3.8847415412211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41616t1 2312b1 20808bf1 |
Quadratic twists by: -4 -3 17 |