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 |
350189858304 = 29 · 314 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13971,-634970] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:18:1] |
Generators of the group modulo torsion |
j |
807995051144/938223 |
j-invariant |
L |
5.2585276319982 |
L(r)(E,1)/r! |
Ω |
0.43916018693413 |
Real period |
R |
1.4967567041734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184bh4 82368br4 13728n3 |
Quadratic twists by: -4 8 -3 |