Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496ct |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-49387491586048 = -1 · 212 · 77 · 114 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15353,801415] |
[a1,a2,a3,a4,a6] |
Generators |
[51:392:1] |
Generators of the group modulo torsion |
j |
-830584000/102487 |
j-invariant |
L |
3.8916273154114 |
L(r)(E,1)/r! |
Ω |
0.61592396442901 |
Real period |
R |
1.5795891782757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496dj1 17248t1 4928be1 |
Quadratic twists by: -4 8 -7 |