Atkin-Lehner |
2+ 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160i |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
314991504000000 = 210 · 34 · 56 · 172 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17040,-68112] |
[a1,a2,a3,a4,a6] |
j |
534389619378244/307608890625 |
j-invariant |
L |
5.4568333013135 |
L(r)(E,1)/r! |
Ω |
0.454736108802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
118320k2 |
Quadratic twists by: -4 |