Atkin-Lehner |
3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17745p |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
842135904045501975 = 33 · 52 · 76 · 139 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -6 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-237871,-6697510] |
[a1,a2,a3,a4,a6] |
Generators |
[-457:2801:1] |
Generators of the group modulo torsion |
j |
140364780373/79413075 |
j-invariant |
L |
2.831930200882 |
L(r)(E,1)/r! |
Ω |
0.23310909832179 |
Real period |
R |
2.0247530886251 |
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 |
53235bh2 88725x2 124215bq2 17745x2 |
Quadratic twists by: -3 5 -7 13 |