Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450y |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5.4882491467516E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8384412,-6299104219] |
[a1,a2,a3,a4,a6] |
j |
1625964918479/1369000000 |
j-invariant |
L |
5.9308937685962 |
L(r)(E,1)/r! |
Ω |
0.061780143288683 |
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 |
13690b2 1850a2 |
Quadratic twists by: 5 37 |