Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3549c |
Isogeny class |
Conductor |
3549 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-304088967 = -1 · 32 · 7 · 136 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,165,-167] |
[a1,a2,a3,a4,a6] |
Generators |
[445:2427:125] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
5.3479078324333 |
L(r)(E,1)/r! |
Ω |
1.0009352155569 |
Real period |
R |
5.342911058892 |
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 |
56784bk1 10647f1 88725h1 24843d1 |
Quadratic twists by: -4 -3 5 -7 |