Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064l |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-421694208 = -1 · 28 · 33 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 2 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16033,-776075] |
[a1,a2,a3,a4,a6] |
j |
-10535824000000/9747 |
j-invariant |
L |
0.84854248333795 |
L(r)(E,1)/r! |
Ω |
0.21213561112825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77064e1 |
Quadratic twists by: 13 |