Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787h |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-13130609945607 = -1 · 32 · 77 · 116 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5806,-35097] |
[a1,a2,a3,a4,a6] |
Generators |
[598:6961:8] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
5.3921810789408 |
L(r)(E,1)/r! |
Ω |
0.41127497318317 |
Real period |
R |
3.2777225886167 |
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 |
53361bo1 2541l1 147a1 |
Quadratic twists by: -3 -7 -11 |