Atkin-Lehner |
2+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
36850b |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-67896125000 = -1 · 23 · 56 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,683,-10659] |
[a1,a2,a3,a4,a6] |
j |
2253243231/4345352 |
j-invariant |
L |
1.1479428689094 |
L(r)(E,1)/r! |
Ω |
0.5739714344703 |
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 |
1474a2 |
Quadratic twists by: 5 |