Atkin-Lehner |
2- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
20636c |
Isogeny class |
Conductor |
20636 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
109866064 = 24 · 7 · 114 · 67 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11- -1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-197,1006] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:19:1] [5:11:1] |
Generators of the group modulo torsion |
j |
53113520128/6866629 |
j-invariant |
L |
5.3221781877116 |
L(r)(E,1)/r! |
Ω |
1.8090975137098 |
Real period |
R |
0.24515806672383 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544z1 |
Quadratic twists by: -4 |