Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472cc |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-692072378368 = -1 · 212 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1927,22649] |
[a1,a2,a3,a4,a6] |
j |
8000/7 |
j-invariant |
L |
4.712835032704 |
L(r)(E,1)/r! |
Ω |
0.58910407170889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472di1 64736b1 448g1 |
Quadratic twists by: -4 8 17 |