Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17661f |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.5184396613446E+24 |
Discriminant |
Eigenvalues |
1 3- -2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10496503,57824554079] |
[a1,a2,a3,a4,a6] |
Generators |
[444103374:71075324195:17576] |
Generators of the group modulo torsion |
j |
215015459663151503/2552757445339983 |
j-invariant |
L |
5.743638979194 |
L(r)(E,1)/r! |
Ω |
0.062601684435173 |
Real period |
R |
15.291492103384 |
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 |
52983h5 123627e5 609b6 |
Quadratic twists by: -3 -7 29 |