Atkin-Lehner |
3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745t |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
282485979969375 = 3 · 54 · 74 · 137 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39465,-2910558] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:305:1] |
Generators of the group modulo torsion |
j |
1408317602329/58524375 |
j-invariant |
L |
4.0354945416495 |
L(r)(E,1)/r! |
Ω |
0.33959320824437 |
Real period |
R |
1.4854149183784 |
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 |
53235h3 88725r3 124215h3 1365e3 |
Quadratic twists by: -3 5 -7 13 |