Atkin-Lehner |
2- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
129712y |
Isogeny class |
Conductor |
129712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-30385814272 = -1 · 28 · 116 · 67 |
Discriminant |
Eigenvalues |
2- -2 2 2 11- 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,323,-7977] |
[a1,a2,a3,a4,a6] |
j |
8192/67 |
j-invariant |
L |
2.3311819162793 |
L(r)(E,1)/r! |
Ω |
0.58279560852966 |
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 |
32428b1 1072b1 |
Quadratic twists by: -4 -11 |