Atkin-Lehner |
3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
14697a |
Isogeny class |
Conductor |
14697 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
43452870957 = 37 · 234 · 71 |
Discriminant |
Eigenvalues |
1 3- -2 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10323,-401004] |
[a1,a2,a3,a4,a6] |
Generators |
[1510674:9758751:10648] |
Generators of the group modulo torsion |
j |
166892811270193/59606133 |
j-invariant |
L |
4.917974831232 |
L(r)(E,1)/r! |
Ω |
0.47364767460885 |
Real period |
R |
10.383192180334 |
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 |
4899d3 |
Quadratic twists by: -3 |