Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640bg |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20779109908480 = -1 · 216 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1492,218192] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:273:1] |
Generators of the group modulo torsion |
j |
5604672636/317064055 |
j-invariant |
L |
4.7462946839696 |
L(r)(E,1)/r! |
Ω |
0.51893353757617 |
Real period |
R |
4.5731238591155 |
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 |
24640i3 6160c4 123200gc3 |
Quadratic twists by: -4 8 5 |