Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
12120d |
Isogeny class |
Conductor |
12120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1468944000000 = 210 · 32 · 56 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4400,97500] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:240:1] |
Generators of the group modulo torsion |
j |
9201963038404/1434515625 |
j-invariant |
L |
4.3163797594824 |
L(r)(E,1)/r! |
Ω |
0.81420702300398 |
Real period |
R |
1.7671098535265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24240m2 96960v2 36360k2 60600bc2 |
Quadratic twists by: -4 8 -3 5 |