Atkin-Lehner |
2- 7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56168b |
Isogeny class |
Conductor |
56168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
14465411459072 = 211 · 7 · 173 · 593 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 2 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12347,495350] |
[a1,a2,a3,a4,a6] |
j |
101643147319842/7063189189 |
j-invariant |
L |
0.68923979256589 |
L(r)(E,1)/r! |
Ω |
0.68923979030368 |
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 |
112336c1 |
Quadratic twists by: -4 |