Atkin-Lehner |
2+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36176b |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-13500304384 = -1 · 210 · 74 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ -4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,128,5520] |
[a1,a2,a3,a4,a6] |
j |
224727548/13183891 |
j-invariant |
L |
3.8283157141918 |
L(r)(E,1)/r! |
Ω |
0.95707892854716 |
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 |
18088c2 |
Quadratic twists by: -4 |