Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17340k |
Isogeny class |
Conductor |
17340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-401803628601600 = -1 · 28 · 32 · 52 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5684,-948316] |
[a1,a2,a3,a4,a6] |
Generators |
[419:8670:1] |
Generators of the group modulo torsion |
j |
3286064/65025 |
j-invariant |
L |
6.1963802775431 |
L(r)(E,1)/r! |
Ω |
0.25905040152089 |
Real period |
R |
1.9932994509833 |
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 |
69360cd2 52020bc2 86700c2 1020b2 |
Quadratic twists by: -4 -3 5 17 |