Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
170a |
Isogeny class |
Conductor |
170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-722500 = -1 · 22 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 -2 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12,38] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
214921799/722500 |
j-invariant |
L |
0.8289341482393 |
L(r)(E,1)/r! |
Ω |
2.0204645502541 |
Real period |
R |
0.10256727198394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1360j2 5440c2 1530k2 850g2 |
Quadratic twists by: -4 8 -3 5 |