Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10890be |
Isogeny class |
Conductor |
10890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
32670 = 2 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- -5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-188,-943] |
[a1,a2,a3,a4,a6] |
Generators |
[-492:223:64] |
Generators of the group modulo torsion |
j |
223810587/10 |
j-invariant |
L |
6.5677802835558 |
L(r)(E,1)/r! |
Ω |
1.2898579405703 |
Real period |
R |
2.5459316398254 |
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 |
87120cx1 10890h2 54450j1 10890b1 |
Quadratic twists by: -4 -3 5 -11 |