Atkin-Lehner |
2+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32110r |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1085318000 = -1 · 24 · 53 · 134 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 3 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1018,12508] |
[a1,a2,a3,a4,a6] |
Generators |
[17:5:1] |
Generators of the group modulo torsion |
j |
-4079249161/38000 |
j-invariant |
L |
5.8164113840801 |
L(r)(E,1)/r! |
Ω |
1.5584871528754 |
Real period |
R |
1.866044058608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32110t1 |
Quadratic twists by: 13 |