Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120g |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
19712160000 = 28 · 36 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-676,-676] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:78:1] |
Generators of the group modulo torsion |
j |
133649126224/77000625 |
j-invariant |
L |
3.7826824181239 |
L(r)(E,1)/r! |
Ω |
1.0196034031848 |
Real period |
R |
1.2366515602402 |
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 |
1560i2 12480bz2 9360s2 15600a2 |
Quadratic twists by: -4 8 -3 5 |