Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640dl |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.9839668543191E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-960741,-198195030] |
[a1,a2,a3,a4,a6] |
j |
130287139815424/52926616125 |
j-invariant |
L |
2.8438940310665 |
L(r)(E,1)/r! |
Ω |
0.15799411395495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660e3 4560l3 |
Quadratic twists by: -4 -19 |