Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680q |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
579729960000 = 26 · 38 · 54 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7077,-226204] |
[a1,a2,a3,a4,a6] |
j |
840163473856/12425625 |
j-invariant |
L |
2.0839451649986 |
L(r)(E,1)/r! |
Ω |
0.52098629145811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67680ba1 22560m1 |
Quadratic twists by: -4 -3 |