Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8160c |
Isogeny class |
Conductor |
8160 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-166464000000 = -1 · 212 · 32 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -6 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2785,60817] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:195:1] [-27:340:1] |
Generators of the group modulo torsion |
j |
-583438782016/40640625 |
j-invariant |
L |
4.6713302752394 |
L(r)(E,1)/r! |
Ω |
1.0023224803861 |
Real period |
R |
0.19418776419477 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8160q2 16320y1 24480bc2 40800bv2 |
Quadratic twists by: -4 8 -3 5 |