Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160ds |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-40824000 = -1 · 26 · 36 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-678,-6802] |
[a1,a2,a3,a4,a6] |
Generators |
[148393:81407:4913] |
Generators of the group modulo torsion |
j |
-738763264/875 |
j-invariant |
L |
4.4337130656179 |
L(r)(E,1)/r! |
Ω |
0.46776884791267 |
Real period |
R |
9.4784274014879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160eb1 10080bt1 2240x1 100800nc1 |
Quadratic twists by: -4 8 -3 5 |