Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
11322g |
Isogeny class |
Conductor |
11322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-16507476 = -1 · 22 · 38 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,193] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:11:1] [-1:14:1] |
Generators of the group modulo torsion |
j |
103823/22644 |
j-invariant |
L |
3.9692358863667 |
L(r)(E,1)/r! |
Ω |
1.6993306219858 |
Real period |
R |
0.29197054379933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90576bj1 3774o1 |
Quadratic twists by: -4 -3 |