Atkin-Lehner |
2+ 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
65136f |
Isogeny class |
Conductor |
65136 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-31616589192192 = -1 · 210 · 36 · 233 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 2 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,270468] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:414:1] |
Generators of the group modulo torsion |
j |
-768400132/30875575383 |
j-invariant |
L |
8.3709939416736 |
L(r)(E,1)/r! |
Ω |
0.52553112147862 |
Real period |
R |
0.44246211118524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32568a1 |
Quadratic twists by: -4 |