Atkin-Lehner |
2- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
20128j |
Isogeny class |
Conductor |
20128 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2576384 = -1 · 212 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 0 -1 1 -3 -6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,96] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] [-2:12:1] |
Generators of the group modulo torsion |
j |
-592704/629 |
j-invariant |
L |
6.86527490298 |
L(r)(E,1)/r! |
Ω |
2.3324181117472 |
Real period |
R |
0.73585379786792 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20128e1 40256g1 |
Quadratic twists by: -4 8 |