Atkin-Lehner |
2- 3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726t |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-320219514 = -1 · 2 · 33 · 174 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 3 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,79,-837] |
[a1,a2,a3,a4,a6] |
j |
2043548109/11859982 |
j-invariant |
L |
6.8796237343842 |
L(r)(E,1)/r! |
Ω |
0.85995296679803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21726b1 |
Quadratic twists by: -3 |