Atkin-Lehner |
3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
48645d |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
177311025 = 38 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51885,-4536000] |
[a1,a2,a3,a4,a6] |
Generators |
[7098252:73805955:21952] |
Generators of the group modulo torsion |
j |
21189775491153361/243225 |
j-invariant |
L |
7.0452362113562 |
L(r)(E,1)/r! |
Ω |
0.31632878070398 |
Real period |
R |
11.135939315555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16215h2 |
Quadratic twists by: -3 |