Atkin-Lehner |
2+ 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77168a |
Isogeny class |
Conductor |
77168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-77168 = -1 · 24 · 7 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,19] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] |
Generators of the group modulo torsion |
j |
-4000000/4823 |
j-invariant |
L |
4.6696166976224 |
L(r)(E,1)/r! |
Ω |
3.1113065969904 |
Real period |
R |
1.5008539178508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38584e1 |
Quadratic twists by: -4 |