Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7920i |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-162384750000000000 = -1 · 210 · 310 · 512 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,124197,9595802] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:648:1] |
Generators of the group modulo torsion |
j |
283811208976796/217529296875 |
j-invariant |
L |
4.4600587697434 |
L(r)(E,1)/r! |
Ω |
0.20708678347229 |
Real period |
R |
2.6921435393898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3960c4 31680dq3 2640e4 39600bh3 |
Quadratic twists by: -4 8 -3 5 |