Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320g |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1706342400 = -1 · 211 · 32 · 52 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,184,-1680] |
[a1,a2,a3,a4,a6] |
j |
334568302/833175 |
j-invariant |
L |
1.5421589082385 |
L(r)(E,1)/r! |
Ω |
0.77107945411925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640i2 57960bw2 96600bt2 |
Quadratic twists by: -4 -3 5 |