Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16240d |
Isogeny class |
Conductor |
16240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
899825482169600 = 28 · 52 · 78 · 293 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 4 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134076,18885776] |
[a1,a2,a3,a4,a6] |
j |
1041214291261679824/3514943289725 |
j-invariant |
L |
4.0022552566341 |
L(r)(E,1)/r! |
Ω |
0.50028190707927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8120f2 64960cb2 81200e2 113680k2 |
Quadratic twists by: -4 8 5 -7 |