Atkin-Lehner |
3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13005l |
Isogeny class |
Conductor |
13005 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44064 |
Modular degree for the optimal curve |
Δ |
635665896811125 = 36 · 53 · 178 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 3 2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29478,1524258] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1210:1] |
Generators of the group modulo torsion |
j |
557056/125 |
j-invariant |
L |
3.9440486512414 |
L(r)(E,1)/r! |
Ω |
0.48340325279855 |
Real period |
R |
4.0794601902327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1445e1 65025bw1 13005m1 |
Quadratic twists by: -3 5 17 |