Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49980bf |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-347009725566000 = -1 · 24 · 36 · 53 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6795,-867672] |
[a1,a2,a3,a4,a6] |
j |
18429771776/184345875 |
j-invariant |
L |
4.7909982691305 |
L(r)(E,1)/r! |
Ω |
0.26616657054816 |
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 |
7140a1 |
Quadratic twists by: -7 |