Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952t |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10322256384 = 29 · 34 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-544,-184] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:30:1] |
Generators of the group modulo torsion |
j |
34837625096/20160657 |
j-invariant |
L |
5.4028000829919 |
L(r)(E,1)/r! |
Ω |
1.0856144281978 |
Real period |
R |
2.4883604817049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17952k2 35904bu3 53856f3 |
Quadratic twists by: -4 8 -3 |