Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920r |
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 |
0.96286951987009 |
L(r)(E,1)/r! |
Ω |
0.48143475993505 |
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 |
9920f4 2480e4 89280fa3 49600bk3 |
Quadratic twists by: -4 8 -3 5 |