Atkin-Lehner |
3- 11+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48807f |
Isogeny class |
Conductor |
48807 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
473609413233 = 311 · 11 · 172 · 292 |
Discriminant |
Eigenvalues |
1 3- 4 2 11+ -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1980,7843] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:1729:8] |
Generators of the group modulo torsion |
j |
1177918188481/649669977 |
j-invariant |
L |
9.6936944783963 |
L(r)(E,1)/r! |
Ω |
0.81161149008953 |
Real period |
R |
2.9859405013144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16269d1 |
Quadratic twists by: -3 |