Atkin-Lehner |
3- 11+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84249d |
Isogeny class |
Conductor |
84249 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9947617883102E+22 |
Discriminant |
Eigenvalues |
1 3- 2 -4 11+ -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25802676,-49749881751] |
[a1,a2,a3,a4,a6] |
Generators |
[-1031520:-8175621:343] |
Generators of the group modulo torsion |
j |
2606096184767356445764417/41080408618796267787 |
j-invariant |
L |
4.6025670264222 |
L(r)(E,1)/r! |
Ω |
0.067049922456206 |
Real period |
R |
8.5804853456971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28083f2 |
Quadratic twists by: -3 |