Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644a |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-605573322866962688 = -1 · 28 · 78 · 177 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 5 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,165212,-27032300] |
[a1,a2,a3,a4,a6] |
j |
14000/17 |
j-invariant |
L |
0.93177521555517 |
L(r)(E,1)/r! |
Ω |
0.1552958698053 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56644i1 3332b1 |
Quadratic twists by: -7 17 |