Atkin-Lehner |
2- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
20776p |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-592213065472 = -1 · 28 · 77 · 532 |
Discriminant |
Eigenvalues |
2- -2 0 7- -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3348,82144] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:392:1] [-18:370:1] |
Generators of the group modulo torsion |
j |
-137842000/19663 |
j-invariant |
L |
5.4398098000685 |
L(r)(E,1)/r! |
Ω |
0.88725434369374 |
Real period |
R |
0.76638252586933 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41552m1 2968e1 |
Quadratic twists by: -4 -7 |