Atkin-Lehner |
2+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
5768a |
Isogeny class |
Conductor |
5768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-5168128 = -1 · 210 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,112] |
[a1,a2,a3,a4,a6] |
Generators |
[3:14:1] |
Generators of the group modulo torsion |
j |
415292/5047 |
j-invariant |
L |
2.1394621096208 |
L(r)(E,1)/r! |
Ω |
1.7886087495122 |
Real period |
R |
1.1961599260902 |
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 |
11536d1 46144a1 51912n1 40376d1 |
Quadratic twists by: -4 8 -3 -7 |