Atkin-Lehner |
2+ 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14382d |
Isogeny class |
Conductor |
14382 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11446720092 = 22 · 36 · 174 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9078,-330616] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:33:1] |
Generators of the group modulo torsion |
j |
113499416527713/15701948 |
j-invariant |
L |
2.4893317079736 |
L(r)(E,1)/r! |
Ω |
0.48910643060924 |
Real period |
R |
2.544775075716 |
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 |
115056r4 1598b4 |
Quadratic twists by: -4 -3 |