Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
9840x |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
89234472960 = 217 · 34 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13776,-626796] |
[a1,a2,a3,a4,a6] |
j |
70593496254289/21785760 |
j-invariant |
L |
3.5254468715316 |
L(r)(E,1)/r! |
Ω |
0.44068085894145 |
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 |
1230e2 39360ca2 29520by2 49200by2 |
Quadratic twists by: -4 8 -3 5 |