Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320j |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-28290446933760 = -1 · 28 · 37 · 5 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1977,253658] |
[a1,a2,a3,a4,a6] |
j |
4579058864/151590615 |
j-invariant |
L |
2.0057088028916 |
L(r)(E,1)/r! |
Ω |
0.50142719741888 |
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 |
22440u1 |
Quadratic twists by: -3 |