Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770bb |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
3488160000 = 28 · 3 · 54 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1736,-27840] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:24:1] |
Generators of the group modulo torsion |
j |
578613430620289/3488160000 |
j-invariant |
L |
8.0527744526427 |
L(r)(E,1)/r! |
Ω |
0.73989230835744 |
Real period |
R |
1.3604639421309 |
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 |
50310s1 83850f1 |
Quadratic twists by: -3 5 |