Atkin-Lehner |
2- 5+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17170l |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45607812500 = 22 · 58 · 172 · 101 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2376,43180] |
[a1,a2,a3,a4,a6] |
Generators |
[36:50:1] |
Generators of the group modulo torsion |
j |
1483455233259649/45607812500 |
j-invariant |
L |
3.8087260706295 |
L(r)(E,1)/r! |
Ω |
1.1303299299485 |
Real period |
R |
1.684785109956 |
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 |
85850c2 |
Quadratic twists by: 5 |