Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fk |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.2277512512937E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23643561,-49729261239] |
[a1,a2,a3,a4,a6] |
Generators |
[10235132575475:5912575135745168:30664297] |
Generators of the group modulo torsion |
j |
-201440287521417664/30700866796875 |
j-invariant |
L |
5.2495400251286 |
L(r)(E,1)/r! |
Ω |
0.033947327592125 |
Real period |
R |
19.329724974113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999570125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160hv2 58080ba1 10560bi2 |
Quadratic twists by: -4 8 -11 |