Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240a |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
148343685120 = 216 · 39 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,-111888] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:215:8] |
Generators of the group modulo torsion |
j |
7443468/115 |
j-invariant |
L |
5.5534575724748 |
L(r)(E,1)/r! |
Ω |
0.58580656330977 |
Real period |
R |
4.7400096890025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240dm1 8280p1 66240s1 |
Quadratic twists by: -4 8 -3 |