Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450z |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.438711584326E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -6 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4722337,4209339781] |
[a1,a2,a3,a4,a6] |
j |
212207543/262144 |
j-invariant |
L |
6.0339217135954 |
L(r)(E,1)/r! |
Ω |
0.083804468461496 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2738b2 68450g2 |
Quadratic twists by: 5 37 |