Atkin-Lehner |
2- 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496u |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4417069273344 = 28 · 310 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1558324,749266084] |
[a1,a2,a3,a4,a6] |
Generators |
[-251:33534:1] |
Generators of the group modulo torsion |
j |
1634772425273587285072/17254176849 |
j-invariant |
L |
4.6496483035701 |
L(r)(E,1)/r! |
Ω |
0.54354723241913 |
Real period |
R |
4.2771336383018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992q2 124488r2 |
Quadratic twists by: -4 -3 |