Atkin-Lehner |
2+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
42560b |
Isogeny class |
Conductor |
42560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-18685542400 = -1 · 214 · 52 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,79,-6545] |
[a1,a2,a3,a4,a6] |
Generators |
[37:220:1] |
Generators of the group modulo torsion |
j |
3286064/1140475 |
j-invariant |
L |
2.7768355029239 |
L(r)(E,1)/r! |
Ω |
0.57398809511043 |
Real period |
R |
2.4188964253619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42560cr2 5320g2 |
Quadratic twists by: -4 8 |