Atkin-Lehner |
2+ 3+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
38760b |
Isogeny class |
Conductor |
38760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12055910400 = 211 · 36 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13736,-615060] |
[a1,a2,a3,a4,a6] |
Generators |
[189:1872:1] |
Generators of the group modulo torsion |
j |
139960737784658/5886675 |
j-invariant |
L |
2.4459644192158 |
L(r)(E,1)/r! |
Ω |
0.44099426882742 |
Real period |
R |
5.546476659928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520t2 116280bx2 |
Quadratic twists by: -4 -3 |