Atkin-Lehner |
2- 3+ 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720bu |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3851809436160000 = 212 · 32 · 54 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42280,1524400] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:2058:1] |
Generators of the group modulo torsion |
j |
2040699095041321/940383163125 |
j-invariant |
L |
5.0347761776046 |
L(r)(E,1)/r! |
Ω |
0.39509457224729 |
Real period |
R |
0.79645111121047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3045i3 |
Quadratic twists by: -4 |