Atkin-Lehner |
2+ 7- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
16198f |
Isogeny class |
Conductor |
16198 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-5766488 = -1 · 23 · 7 · 13 · 892 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -5 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2,-116] |
[a1,a2,a3,a4,a6] |
Generators |
[13:38:1] |
Generators of the group modulo torsion |
j |
658503/5766488 |
j-invariant |
L |
1.1758188025274 |
L(r)(E,1)/r! |
Ω |
1.1090927980948 |
Real period |
R |
0.53008134420638 |
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 |
129584i1 113386k1 |
Quadratic twists by: -4 -7 |