Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
560f |
Isogeny class |
Conductor |
560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-439040 = -1 · 28 · 5 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-805,9065] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-2:1] |
Generators of the group modulo torsion |
j |
-225637236736/1715 |
j-invariant |
L |
1.7989783239287 |
L(r)(E,1)/r! |
Ω |
2.6665625486178 |
Real period |
R |
0.33732160621194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
140a2 2240p2 5040bf2 2800t2 |
Quadratic twists by: -4 8 -3 5 |