Atkin-Lehner |
2+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3872b |
Isogeny class |
Conductor |
3872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7256313856 = -1 · 212 · 116 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,484,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
0.7905800987549 |
L(r)(E,1)/r! |
Ω |
0.7905800987549 |
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 |
3872b4 7744t1 34848ca2 96800bm2 |
Quadratic twists by: -4 8 -3 5 |