Atkin-Lehner |
3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13005n |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-61861949300390625 = -1 · 38 · 58 · 176 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,90981,5601258] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1464:1] |
Generators of the group modulo torsion |
j |
4733169839/3515625 |
j-invariant |
L |
5.516557593757 |
L(r)(E,1)/r! |
Ω |
0.22351861929358 |
Real period |
R |
1.5425330144732 |
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 |
4335d6 65025bn5 45a6 |
Quadratic twists by: -3 5 17 |