Atkin-Lehner |
2- 3+ 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
27738j |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
12240409264128 = 216 · 33 · 23 · 673 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -5 4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5939,53395] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:434:1] |
Generators of the group modulo torsion |
j |
857889527891859/453348491264 |
j-invariant |
L |
8.4535460066832 |
L(r)(E,1)/r! |
Ω |
0.62513246934745 |
Real period |
R |
0.14086257748677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27738c1 |
Quadratic twists by: -3 |