Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120z |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
62300160000 = 216 · 32 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1040,-5100] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:90:1] |
Generators of the group modulo torsion |
j |
30400540561/15210000 |
j-invariant |
L |
4.0768391111029 |
L(r)(E,1)/r! |
Ω |
0.88553658812579 |
Real period |
R |
1.1509516280212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
390b2 12480bl2 9360bn2 15600z2 |
Quadratic twists by: -4 8 -3 5 |