Atkin-Lehner |
2+ 3- 11- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36894r |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-53085522204 = -1 · 22 · 33 · 112 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,920,2786] |
[a1,a2,a3,a4,a6] |
Generators |
[19:155:1] |
Generators of the group modulo torsion |
j |
86251290676487/53085522204 |
j-invariant |
L |
6.1645917414679 |
L(r)(E,1)/r! |
Ω |
0.69223351368428 |
Real period |
R |
1.4842274125719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110682bj1 |
Quadratic twists by: -3 |