Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360j |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-562278400000000 = -1 · 218 · 58 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7681,1172481] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/2144921875 |
j-invariant |
L |
3.5262374298355 |
L(r)(E,1)/r! |
Ω |
0.44077971056416 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360bo2 1615a2 |
Quadratic twists by: -4 8 |