Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400bf |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.9443957164E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22854675,-42053516750] |
[a1,a2,a3,a4,a6] |
j |
56594125707224978/1262172375 |
j-invariant |
L |
1.1047814078209 |
L(r)(E,1)/r! |
Ω |
0.069048837838062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200ba4 22800u4 13680t3 |
Quadratic twists by: -4 -3 5 |