Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600dj |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-705307500000000 = -1 · 28 · 38 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -1 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116133,-15325137] |
[a1,a2,a3,a4,a6] |
j |
-43304636317696/176326875 |
j-invariant |
L |
4.136894881995 |
L(r)(E,1)/r! |
Ω |
0.1292779651012 |
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 |
12900c1 10320u1 |
Quadratic twists by: -4 5 |