Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920n |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1113897615022080 = 211 · 316 · 5 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541280,153089748] |
[a1,a2,a3,a4,a6] |
j |
8563681437626024642/543895319835 |
j-invariant |
L |
3.7139023457947 |
L(r)(E,1)/r! |
Ω |
0.46423779322406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15960m5 127680dh6 95760x6 |
Quadratic twists by: -4 8 -3 |