Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63648o |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
1577579328 = 26 · 38 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309,-848] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] |
Generators of the group modulo torsion |
j |
69934528/33813 |
j-invariant |
L |
8.3812984433879 |
L(r)(E,1)/r! |
Ω |
1.1951379026838 |
Real period |
R |
1.7532073964851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648p1 127296dd2 21216g1 |
Quadratic twists by: -4 8 -3 |