Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120bj |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11992304025600 = 215 · 3 · 52 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6145,-83425] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:300:1] |
Generators of the group modulo torsion |
j |
783267508232/365976075 |
j-invariant |
L |
6.56685944173 |
L(r)(E,1)/r! |
Ω |
0.56415049935117 |
Real period |
R |
2.9100654210582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45120s3 22560m3 |
Quadratic twists by: -4 8 |