Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450y |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.6245217474385E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-180537588,-933758272219] |
[a1,a2,a3,a4,a6] |
j |
16232905099479601/4052240 |
j-invariant |
L |
5.9308937685962 |
L(r)(E,1)/r! |
Ω |
0.041186762192455 |
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 |
13690b3 1850a3 |
Quadratic twists by: 5 37 |