Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600ca |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
656541876800000000 = 212 · 58 · 177 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-985008,373923988] |
[a1,a2,a3,a4,a6] |
j |
68417929/425 |
j-invariant |
L |
1.1566419413897 |
L(r)(E,1)/r! |
Ω |
0.2891605907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7225e1 23120bh1 6800l1 |
Quadratic twists by: -4 5 17 |