Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960ey |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
91371110400 = 215 · 38 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6348,194128] |
[a1,a2,a3,a4,a6] |
Generators |
[26:216:1] [-54:616:1] |
Generators of the group modulo torsion |
j |
1184287112/3825 |
j-invariant |
L |
8.5623104348517 |
L(r)(E,1)/r! |
Ω |
1.0762555527044 |
Real period |
R |
0.99445601155512 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ev2 24480u2 16320cv2 |
Quadratic twists by: -4 8 -3 |