Atkin-Lehner |
2+ 3- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16974h |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6909560539316364168 = 23 · 38 · 238 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5862006,5462829324] |
[a1,a2,a3,a4,a6] |
Generators |
[-1625:104232:1] |
Generators of the group modulo torsion |
j |
30558708894178043523937/9478135170529992 |
j-invariant |
L |
4.1232977047376 |
L(r)(E,1)/r! |
Ω |
0.23141965716987 |
Real period |
R |
2.2271755969022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5658g5 |
Quadratic twists by: -3 |