Atkin-Lehner |
3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bi |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5.6631373214722E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1988700,-381709094] |
[a1,a2,a3,a4,a6] |
j |
76363175346569216/49717529296875 |
j-invariant |
L |
1.1222781417437 |
L(r)(E,1)/r! |
Ω |
0.093523178469683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14025a2 8415p2 |
Quadratic twists by: -3 5 |