Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120k |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
38937600 = 210 · 32 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-520,-4732] |
[a1,a2,a3,a4,a6] |
j |
15214885924/38025 |
j-invariant |
L |
1.9995136109524 |
L(r)(E,1)/r! |
Ω |
0.99975680547619 |
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 |
1560k2 12480bq2 9360o2 15600f2 |
Quadratic twists by: -4 8 -3 5 |