Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8470a |
Isogeny class |
Conductor |
8470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1362721296321E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-116352110,-483040019500] |
[a1,a2,a3,a4,a6] |
Generators |
[585458020:169314359310:6859] |
Generators of the group modulo torsion |
j |
73877525106256274859/48189030400 |
j-invariant |
L |
2.5894995945217 |
L(r)(E,1)/r! |
Ω |
0.045968042019376 |
Real period |
R |
14.083151472006 |
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 |
67760bi2 76230ee2 42350cc2 59290bi2 |
Quadratic twists by: -4 -3 5 -7 |