Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840p |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8314099200 = 29 · 310 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26427,1653554] |
[a1,a2,a3,a4,a6] |
Generators |
[98:70:1] |
Generators of the group modulo torsion |
j |
5468520153032/22275 |
j-invariant |
L |
5.1744848158942 |
L(r)(E,1)/r! |
Ω |
1.1512989398912 |
Real period |
R |
2.2472377228034 |
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 |
15840be2 31680s4 5280j2 79200dd4 |
Quadratic twists by: -4 8 -3 5 |