Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920f |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-496000000000000 = -1 · 216 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18188,-1428112] |
[a1,a2,a3,a4,a6] |
j |
-10153098934884/7568359375 |
j-invariant |
L |
1.5927275765462 |
L(r)(E,1)/r! |
Ω |
0.19909094706828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9920r4 1240g4 89280cp3 49600r3 |
Quadratic twists by: -4 8 -3 5 |