Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450v |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4795200 |
Modular degree for the optimal curve |
Δ |
5.4882491467516E+19 |
Discriminant |
Eigenvalues |
2+ -3 5- -2 0 -1 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4352992,3478535416] |
[a1,a2,a3,a4,a6] |
j |
1329669/8 |
j-invariant |
L |
0.39993398533241 |
L(r)(E,1)/r! |
Ω |
0.19996697721404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68450bp1 68450bq1 |
Quadratic twists by: 5 37 |