Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76320bp |
Isogeny class |
Conductor |
76320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
78634022400 = 29 · 37 · 52 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,-2482] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:90:1] [-19:106:1] |
Generators of the group modulo torsion |
j |
376367048/210675 |
j-invariant |
L |
10.255729047783 |
L(r)(E,1)/r! |
Ω |
0.89418167796044 |
Real period |
R |
1.4336752391446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998773 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76320m2 25440f2 |
Quadratic twists by: -4 -3 |