Atkin-Lehner |
2+ 3- 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670d |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-20866093056000 = -1 · 215 · 32 · 53 · 19 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -6 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5336,-160138] |
[a1,a2,a3,a4,a6] |
j |
16806921322610951/20866093056000 |
j-invariant |
L |
2.1906141433118 |
L(r)(E,1)/r! |
Ω |
0.36510235721863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53010bw2 88350cd2 |
Quadratic twists by: -3 5 |