Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
14784cl |
Isogeny class |
Conductor |
14784 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-217225462874112 = -1 · 216 · 316 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2177,-710913] |
[a1,a2,a3,a4,a6] |
j |
-17418812548/3314597517 |
j-invariant |
L |
3.9993878005314 |
L(r)(E,1)/r! |
Ω |
0.24996173753321 |
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 |
14784i4 3696g4 44352ey3 103488fm3 |
Quadratic twists by: -4 8 -3 -7 |