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 |
2886231106559025 = 314 · 52 · 176 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351189,80151120] |
[a1,a2,a3,a4,a6] |
Generators |
[78964:2458923:64] |
Generators of the group modulo torsion |
j |
272223782641/164025 |
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 |
4335d5 65025bn6 45a5 |
Quadratic twists by: -3 5 17 |