Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14784j |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
867491057664 = 212 · 36 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2409,-7191] |
[a1,a2,a3,a4,a6] |
j |
377619516352/211789809 |
j-invariant |
L |
1.4652109044001 |
L(r)(E,1)/r! |
Ω |
0.73260545220006 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14784be2 7392c1 44352v2 103488dy2 |
Quadratic twists by: -4 8 -3 -7 |