Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018k |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11658240 |
Modular degree for the optimal curve |
Δ |
-4.2973837247597E+21 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 11- 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3711188,1541483370] |
[a1,a2,a3,a4,a6] |
Generators |
[5334:413391:1] |
Generators of the group modulo torsion |
j |
336743/256 |
j-invariant |
L |
2.2315056435832 |
L(r)(E,1)/r! |
Ω |
0.088541829462774 |
Real period |
R |
1.4001578277874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128018bc1 128018j1 |
Quadratic twists by: -11 -23 |