Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120z |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
947585433600 = 214 · 34 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9040,324500] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:546:1] |
Generators of the group modulo torsion |
j |
19948814692561/231344100 |
j-invariant |
L |
4.0768391111029 |
L(r)(E,1)/r! |
Ω |
0.88553658812579 |
Real period |
R |
2.3019032560424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
390b3 12480bl4 9360bn3 15600z4 |
Quadratic twists by: -4 8 -3 5 |