Atkin-Lehner |
2+ 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16472b |
Isogeny class |
Conductor |
16472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-443294464 = -1 · 28 · 293 · 71 |
Discriminant |
Eigenvalues |
2+ 2 -1 2 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,-1003] |
[a1,a2,a3,a4,a6] |
Generators |
[31:174:1] |
Generators of the group modulo torsion |
j |
210308096/1731619 |
j-invariant |
L |
6.8017844677571 |
L(r)(E,1)/r! |
Ω |
0.82877720898878 |
Real period |
R |
0.68391766347519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32944b1 |
Quadratic twists by: -4 |