Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8160a |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-23128312320 = -1 · 29 · 312 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,664,-3420] |
[a1,a2,a3,a4,a6] |
Generators |
[90:585:8] |
Generators of the group modulo torsion |
j |
63139882168/45172485 |
j-invariant |
L |
3.2636897634047 |
L(r)(E,1)/r! |
Ω |
0.67646667606656 |
Real period |
R |
4.824612769371 |
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 |
8160m4 16320bg4 24480bi2 40800bs2 |
Quadratic twists by: -4 8 -3 5 |