Atkin-Lehner |
2- 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080bk |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
275565772800 = 224 · 32 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1921,-19679] |
[a1,a2,a3,a4,a6] |
j |
2992209121/1051200 |
j-invariant |
L |
2.967733009426 |
L(r)(E,1)/r! |
Ω |
0.74193324869867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080u1 17520x1 |
Quadratic twists by: -4 8 |