Atkin-Lehner |
3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
2163b |
Isogeny class |
Conductor |
2163 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42107121 = 34 · 72 · 1032 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-242,1395] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:58:1] |
Generators of the group modulo torsion |
j |
1567768622113/42107121 |
j-invariant |
L |
2.6596504478949 |
L(r)(E,1)/r! |
Ω |
2.0269762736865 |
Real period |
R |
1.312127074412 |
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 |
34608o2 6489d2 54075h2 15141g2 |
Quadratic twists by: -4 -3 5 -7 |