Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880c |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
447293440000 = 214 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1948,-7728] |
[a1,a2,a3,a4,a6] |
j |
49896562896/27300625 |
j-invariant |
L |
1.5352622281777 |
L(r)(E,1)/r! |
Ω |
0.76763111604357 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66880ch2 8360h2 |
Quadratic twists by: -4 8 |