Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600cb |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
341250000 = 24 · 3 · 57 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11383,-471262] |
[a1,a2,a3,a4,a6] |
Generators |
[163:1425:1] |
Generators of the group modulo torsion |
j |
652517349376/1365 |
j-invariant |
L |
6.3964905248588 |
L(r)(E,1)/r! |
Ω |
0.46220245281665 |
Real period |
R |
3.4597882842565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200p1 10920g1 |
Quadratic twists by: -4 5 |