Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200co |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-5044200875000000 = -1 · 26 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42875,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
0.51539022868191 |
L(r)(E,1)/r! |
Ω |
0.25769511434249 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39200co1 78400jw2 39200x1 39200cn1 |
Quadratic twists by: -4 8 5 -7 |