Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
68900d |
Isogeny class |
Conductor |
68900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-146068000000 = -1 · 28 · 56 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1292,3912] |
[a1,a2,a3,a4,a6] |
Generators |
[786:6902:27] |
Generators of the group modulo torsion |
j |
59582000/36517 |
j-invariant |
L |
10.087309600041 |
L(r)(E,1)/r! |
Ω |
0.63550580179863 |
Real period |
R |
5.2909611902798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2756a2 |
Quadratic twists by: 5 |