Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496cs |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-1632644349952 = -1 · 214 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2417,-75823] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1392:1] |
Generators of the group modulo torsion |
j |
-810448/847 |
j-invariant |
L |
9.7168368492506 |
L(r)(E,1)/r! |
Ω |
0.32682707585811 |
Real period |
R |
3.7163524563172 |
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 |
34496bt1 8624k1 4928w1 |
Quadratic twists by: -4 8 -7 |