Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
14112u |
Isogeny class |
Conductor |
14112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
746636341248 = 212 · 312 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2604,29792] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:252:1] |
Generators of the group modulo torsion |
j |
1906624/729 |
j-invariant |
L |
5.4807744920278 |
L(r)(E,1)/r! |
Ω |
0.82043783199394 |
Real period |
R |
0.83503805503272 |
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 |
14112bz2 28224cf1 4704w2 14112y2 |
Quadratic twists by: -4 8 -3 -7 |