Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592by |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
422049393672192 = 220 · 39 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5307987,-4706985710] |
[a1,a2,a3,a4,a6] |
Generators |
[2663:6534:1] |
Generators of the group modulo torsion |
j |
5538928862777598289/141343488 |
j-invariant |
L |
3.5629470935494 |
L(r)(E,1)/r! |
Ω |
0.099464268431861 |
Real period |
R |
4.4776721702707 |
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 |
2574k2 82368dw2 6864x2 |
Quadratic twists by: -4 8 -3 |