Atkin-Lehner |
2- 3- 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860o |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-826345877760 = -1 · 28 · 310 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 13- -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2337,-4682] |
[a1,a2,a3,a4,a6] |
Generators |
[66:985:8] |
Generators of the group modulo torsion |
j |
7563666224/4427865 |
j-invariant |
L |
5.603506721587 |
L(r)(E,1)/r! |
Ω |
0.52535533681947 |
Real period |
R |
5.3330634795997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22620l2 |
Quadratic twists by: -3 |