Atkin-Lehner |
2- 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
13286k |
Isogeny class |
Conductor |
13286 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
41664896 = 27 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 0 -1 7- -3 13+ 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-88,-37] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:17:1] |
Generators of the group modulo torsion |
j |
74565301329/41664896 |
j-invariant |
L |
6.4905677479826 |
L(r)(E,1)/r! |
Ω |
1.6754048507822 |
Real period |
R |
0.18447759329426 |
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 |
106288f1 119574l1 93002t1 |
Quadratic twists by: -4 -3 -7 |