Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8184h |
Isogeny class |
Conductor |
8184 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-205883715942254592 = -1 · 211 · 310 · 116 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66808,22797872] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:5022:1] |
Generators of the group modulo torsion |
j |
-16102216903531250/100529158174929 |
j-invariant |
L |
4.8358460927455 |
L(r)(E,1)/r! |
Ω |
0.27318965492115 |
Real period |
R |
1.7701424653658 |
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 |
16368b2 65472j2 24552v2 90024bd2 |
Quadratic twists by: -4 8 -3 -11 |