Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760ba |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-20317678796800 = -1 · 216 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4477,-183678] |
[a1,a2,a3,a4,a6] |
Generators |
[231:3630:1] |
Generators of the group modulo torsion |
j |
1367631/2800 |
j-invariant |
L |
4.8638176263422 |
L(r)(E,1)/r! |
Ω |
0.35587515054158 |
Real period |
R |
1.7084002700905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470h1 560d1 |
Quadratic twists by: -4 -11 |