Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
41184l |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5114981634048 = -1 · 212 · 38 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4164,-33824] |
[a1,a2,a3,a4,a6] |
Generators |
[1412:16785:64] |
Generators of the group modulo torsion |
j |
2674043072/1712997 |
j-invariant |
L |
5.2585276319982 |
L(r)(E,1)/r! |
Ω |
0.43916018693413 |
Real period |
R |
5.9870268166937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184bh2 82368br1 13728n4 |
Quadratic twists by: -4 8 -3 |