Atkin-Lehner |
2+ 3+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064a |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-734576124672 = -1 · 28 · 33 · 134 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3292,84688] |
[a1,a2,a3,a4,a6] |
j |
-15416832146128/2869437987 |
j-invariant |
L |
1.7306448475091 |
L(r)(E,1)/r! |
Ω |
0.8653224237241 |
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 |
19032o2 114192j2 |
Quadratic twists by: -4 -3 |