Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328bd |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1822196622951226368 = -1 · 210 · 34 · 7 · 1112 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-406600,118930304] |
[a1,a2,a3,a4,a6] |
Generators |
[656:11616:1] |
Generators of the group modulo torsion |
j |
-4097989445764/1004475087 |
j-invariant |
L |
4.7839545166359 |
L(r)(E,1)/r! |
Ω |
0.2517000414438 |
Real period |
R |
2.3758212797633 |
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 |
40656m1 60984bi1 1848e1 |
Quadratic twists by: -4 -3 -11 |