Atkin-Lehner |
2- 3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860s |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-10361204100000000 = -1 · 28 · 36 · 58 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15993,-4835106] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1450:1] |
Generators of the group modulo torsion |
j |
2424074875056/55519140625 |
j-invariant |
L |
6.2143581310032 |
L(r)(E,1)/r! |
Ω |
0.19704674727038 |
Real period |
R |
0.65703086290898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540a2 |
Quadratic twists by: -3 |