Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496t |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
61989048576 = 28 · 34 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1652,23460] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:190:1] |
Generators of the group modulo torsion |
j |
1948842487888/242144721 |
j-invariant |
L |
6.4391361843061 |
L(r)(E,1)/r! |
Ω |
1.0684246511998 |
Real period |
R |
1.5066893526542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992p2 124488s2 |
Quadratic twists by: -4 -3 |