Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800be |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-56000000000 = -1 · 212 · 59 · 7 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 1 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,667,9037] |
[a1,a2,a3,a4,a6] |
j |
4096/7 |
j-invariant |
L |
1.5289516755598 |
L(r)(E,1)/r! |
Ω |
0.76447583777988 |
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 |
175c1 11200df1 25200fr1 2800y1 |
Quadratic twists by: -4 8 -3 5 |