Atkin-Lehner |
2+ 3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14586b |
Isogeny class |
Conductor |
14586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-37533175779528 = -1 · 23 · 38 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3740,-279752] |
[a1,a2,a3,a4,a6] |
Generators |
[67:493:1] |
Generators of the group modulo torsion |
j |
5783051584712375/37533175779528 |
j-invariant |
L |
3.3817037657344 |
L(r)(E,1)/r! |
Ω |
0.32406750883388 |
Real period |
R |
1.3043978775839 |
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 |
116688x2 43758u2 |
Quadratic twists by: -4 -3 |