Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cr |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
Δ |
6021107742685593600 = 216 · 310 · 52 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-861176,-284329260] |
[a1,a2,a3,a4,a6] |
Generators |
[-548:4830:1] |
Generators of the group modulo torsion |
j |
17244079743478944889/1469997007491600 |
j-invariant |
L |
7.2062209073438 |
L(r)(E,1)/r! |
Ω |
0.15757179864068 |
Real period |
R |
0.76221559203579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830a2 115920et2 |
Quadratic twists by: -4 -3 |