Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63648k |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
184576781376 = 26 · 310 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1569,-12040] |
[a1,a2,a3,a4,a6] |
Generators |
[994:10465:8] |
Generators of the group modulo torsion |
j |
9155562688/3956121 |
j-invariant |
L |
8.0134021932682 |
L(r)(E,1)/r! |
Ω |
0.78893293935837 |
Real period |
R |
5.0786332994649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994108 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63648l1 127296cf2 21216l1 |
Quadratic twists by: -4 8 -3 |