Atkin-Lehner |
2- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150p |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
682827484643750000 = 24 · 58 · 23 · 416 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1262563,544489617] |
[a1,a2,a3,a4,a6] |
Generators |
[768:-5673:1] [5606:13147:8] |
Generators of the group modulo torsion |
j |
14245014037159123561/43700959017200 |
j-invariant |
L |
8.8366516772198 |
L(r)(E,1)/r! |
Ω |
0.28775673308592 |
Real period |
R |
2.5590631081723 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430e2 |
Quadratic twists by: 5 |