Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400bn |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1740000000000 = 211 · 3 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93008,-10948512] |
[a1,a2,a3,a4,a6] |
j |
2780605132562/54375 |
j-invariant |
L |
4.3741088005959 |
L(r)(E,1)/r! |
Ω |
0.27338180003724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34800l4 52200l4 3480c3 |
Quadratic twists by: -4 -3 5 |