Atkin-Lehner |
3+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6783a |
Isogeny class |
Conductor |
6783 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
183141 = 34 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- -2 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-14,8] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
325660672/183141 |
j-invariant |
L |
2.2458673551101 |
L(r)(E,1)/r! |
Ω |
2.7608701216702 |
Real period |
R |
0.40673180123219 |
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 |
108528bc1 20349m1 47481r1 115311p1 |
Quadratic twists by: -4 -3 -7 17 |