Atkin-Lehner |
2+ 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080m |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-8173137427200 = -1 · 28 · 315 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12252,539804] |
[a1,a2,a3,a4,a6] |
j |
-1089876235264/43794675 |
j-invariant |
L |
2.9256666177158 |
L(r)(E,1)/r! |
Ω |
0.73141665219296 |
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 |
32040n1 21360b1 |
Quadratic twists by: -4 -3 |