Atkin-Lehner |
2- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
9920r |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
246016000000 = 214 · 56 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20668,1143408] |
[a1,a2,a3,a4,a6] |
j |
59593532744016/15015625 |
j-invariant |
L |
0.96286951987009 |
L(r)(E,1)/r! |
Ω |
0.96286951987009 |
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 |
9920f2 2480e2 89280fa2 49600bk2 |
Quadratic twists by: -4 8 -3 5 |