Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890r |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
27779483952000 = 27 · 315 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 11- -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7695,-54675] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:378:1] |
Generators of the group modulo torsion |
j |
571305535801/314928000 |
j-invariant |
L |
2.1382938399564 |
L(r)(E,1)/r! |
Ω |
0.54543128071514 |
Real period |
R |
0.98009314626805 |
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 |
87120ex1 3630z1 54450gl1 10890bv1 |
Quadratic twists by: -4 -3 5 -11 |