Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
24640m |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
166232879267840000 = 222 · 54 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140108,4760432] |
[a1,a2,a3,a4,a6] |
Generators |
[-344:3500:1] |
Generators of the group modulo torsion |
j |
1160306142246441/634128110000 |
j-invariant |
L |
5.1491505047176 |
L(r)(E,1)/r! |
Ω |
0.28073739715338 |
Real period |
R |
2.2926899644156 |
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 |
24640ba3 770e4 123200p3 |
Quadratic twists by: -4 8 5 |