Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064u |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-17115169653504 = -1 · 28 · 36 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3- 3 3 1 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9689,414363] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1014:1] |
Generators of the group modulo torsion |
j |
-81415168/13851 |
j-invariant |
L |
11.603377757865 |
L(r)(E,1)/r! |
Ω |
0.66726282531762 |
Real period |
R |
0.72456317779983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
456c1 |
Quadratic twists by: 13 |