Atkin-Lehner |
2- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
10846b |
Isogeny class |
Conductor |
10846 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
12160 |
Modular degree for the optimal curve |
Δ |
7671169726 = 2 · 11 · 17 · 295 |
Discriminant |
Eigenvalues |
2- -1 3 -4 11+ 6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1584,-24557] |
[a1,a2,a3,a4,a6] |
Generators |
[-1388:1503:64] |
Generators of the group modulo torsion |
j |
439548072327937/7671169726 |
j-invariant |
L |
6.065780325423 |
L(r)(E,1)/r! |
Ω |
0.75756379401405 |
Real period |
R |
1.6013912949252 |
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 |
86768k1 97614v1 119306i1 |
Quadratic twists by: -4 -3 -11 |