Atkin-Lehner |
2- 11- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
128656y |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-125268308430848 = -1 · 212 · 113 · 172 · 433 |
Discriminant |
Eigenvalues |
2- -3 -2 2 11- 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2731,-541286] |
[a1,a2,a3,a4,a6] |
Generators |
[639:16082:1] |
Generators of the group modulo torsion |
j |
-549957165057/30583083113 |
j-invariant |
L |
3.0187951144251 |
L(r)(E,1)/r! |
Ω |
0.25785639961423 |
Real period |
R |
0.32520199752694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000431157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8041a1 |
Quadratic twists by: -4 |