Atkin-Lehner |
2- 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112bn |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9485046853632 = 212 · 39 · 76 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5292,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:351:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.4302001796144 |
L(r)(E,1)/r! |
Ω |
0.61484728129084 |
Real period |
R |
2.7894733245082 |
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 |
14112bn2 28224eg1 14112i2 288e2 |
Quadratic twists by: -4 8 -3 -7 |