Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
24816k |
Isogeny class |
Conductor |
24816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14307052142592 = 214 · 33 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7320,-155664] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:94:1] |
Generators of the group modulo torsion |
j |
10591472326681/3492932652 |
j-invariant |
L |
1.9835061572623 |
L(r)(E,1)/r! |
Ω |
0.52976338594354 |
Real period |
R |
1.8720679928923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3102g2 99264ci2 74448bq2 |
Quadratic twists by: -4 8 -3 |