Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
5600o |
Isogeny class |
Conductor |
5600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-6588344000000000 = -1 · 212 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -5 -5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37133,4766363] |
[a1,a2,a3,a4,a6] |
j |
-88478050816/102942875 |
j-invariant |
L |
1.5295630137379 |
L(r)(E,1)/r! |
Ω |
0.38239075343448 |
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 |
5600t1 11200ca1 50400be1 1120h1 |
Quadratic twists by: -4 8 -3 5 |