Atkin-Lehner |
2- 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
84420l |
Isogeny class |
Conductor |
84420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-415631266848000 = -1 · 28 · 310 · 53 · 72 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6663,-1002962] |
[a1,a2,a3,a4,a6] |
j |
-175293437776/2227105125 |
j-invariant |
L |
3.6284167294268 |
L(r)(E,1)/r! |
Ω |
0.22677604727314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140r2 |
Quadratic twists by: -3 |