Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13005n |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3959164755225 = 38 · 52 · 176 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13059,-563112] |
[a1,a2,a3,a4,a6] |
Generators |
[104776:1623812:343] |
Generators of the group modulo torsion |
j |
13997521/225 |
j-invariant |
L |
5.516557593757 |
L(r)(E,1)/r! |
Ω |
0.44703723858715 |
Real period |
R |
6.1701320578929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4335d2 65025bn2 45a2 |
Quadratic twists by: -3 5 17 |