Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10608u |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
31945981392 = 24 · 312 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1009,-9190] |
[a1,a2,a3,a4,a6] |
Generators |
[98:918:1] |
Generators of the group modulo torsion |
j |
7107347955712/1996623837 |
j-invariant |
L |
4.4732656908506 |
L(r)(E,1)/r! |
Ω |
0.8650337048422 |
Real period |
R |
0.86186732104783 |
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 |
2652a1 42432bt1 31824bc1 |
Quadratic twists by: -4 8 -3 |