Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
20672r |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
51999506432 = 215 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1196,-11536] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:17:1] |
Generators of the group modulo torsion |
j |
5773874184/1586899 |
j-invariant |
L |
4.1567446938385 |
L(r)(E,1)/r! |
Ω |
0.82862131569323 |
Real period |
R |
1.2541147008634 |
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 |
20672m3 10336k2 |
Quadratic twists by: -4 8 |