Atkin-Lehner |
2+ 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68112u |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-459285209856 = -1 · 28 · 36 · 113 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1788,-14708] |
[a1,a2,a3,a4,a6] |
j |
3387339776/2461019 |
j-invariant |
L |
3.1575273253249 |
L(r)(E,1)/r! |
Ω |
0.52625455428867 |
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 |
34056r1 7568c1 |
Quadratic twists by: -4 -3 |