Atkin-Lehner |
2- 3- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
14322k |
Isogeny class |
Conductor |
14322 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
68053788278784 = 214 · 36 · 72 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88724,10156944] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:4132:1] |
Generators of the group modulo torsion |
j |
77240905699475923777/68053788278784 |
j-invariant |
L |
7.6047663002963 |
L(r)(E,1)/r! |
Ω |
0.61382052186511 |
Real period |
R |
0.29498177047355 |
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 |
114576be2 42966j2 100254bq2 |
Quadratic twists by: -4 -3 -7 |