Atkin-Lehner |
29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
27869b |
Isogeny class |
Conductor |
27869 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2400 |
Modular degree for the optimal curve |
Δ |
808201 = 292 · 312 |
Discriminant |
Eigenvalues |
-1 -1 -1 -1 -3 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51,112] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:143:8] [-2:15:1] |
Generators of the group modulo torsion |
j |
15284209/841 |
j-invariant |
L |
3.9952325277733 |
L(r)(E,1)/r! |
Ω |
2.7858282120648 |
Real period |
R |
0.71706369231071 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27869e1 |
Quadratic twists by: -31 |