Atkin-Lehner |
2+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20672d |
Isogeny class |
Conductor |
20672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
102961774592 = 224 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 -4 -2 -4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8012,-275600] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:19:1] |
Generators of the group modulo torsion |
j |
216973458729/392768 |
j-invariant |
L |
1.6656151702521 |
L(r)(E,1)/r! |
Ω |
0.50467471167281 |
Real period |
R |
1.6501868745625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20672z1 646a1 |
Quadratic twists by: -4 8 |