Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720y |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
38219579130297600 = 28 · 36 · 52 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-84740,1267500] |
[a1,a2,a3,a4,a6] |
Generators |
[-230:2940:1] |
Generators of the group modulo torsion |
j |
262878005370173776/149295230977725 |
j-invariant |
L |
8.6932842732803 |
L(r)(E,1)/r! |
Ω |
0.31333316590915 |
Real period |
R |
0.46240898501945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360h2 |
Quadratic twists by: -4 |