Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68450r |
Isogeny class |
Conductor |
68450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
-1874161000000000 = -1 · 29 · 59 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -3 -1 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-74867,-8136459] |
[a1,a2,a3,a4,a6] |
j |
-12678309/512 |
j-invariant |
L |
0.28793885360815 |
L(r)(E,1)/r! |
Ω |
0.14396942815731 |
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 |
68450bk1 68450bj1 |
Quadratic twists by: 5 37 |