Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600cp |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
1085900735795200 = 212 · 52 · 139 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-644453,198908243] |
[a1,a2,a3,a4,a6] |
Generators |
[1681424:7880639:4096] |
Generators of the group modulo torsion |
j |
27258880 |
j-invariant |
L |
6.3537450934716 |
L(r)(E,1)/r! |
Ω |
0.45914347380937 |
Real period |
R |
6.9191281760122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4225g1 67600df2 67600co1 |
Quadratic twists by: -4 5 13 |