Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
170d |
Isogeny class |
Conductor |
170 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
12 |
Modular degree for the optimal curve |
Δ |
-17000 = -1 · 23 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3,6] |
[a1,a2,a3,a4,a6] |
j |
-1771561/17000 |
j-invariant |
L |
1.1097020596077 |
L(r)(E,1)/r! |
Ω |
3.3291061788232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
1360i1 5440a1 1530m1 850k1 |
Quadratic twists by: -4 8 -3 5 |