Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bv |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
31289225347072 = 215 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ -3 0 7- 11- 1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83020,9203152] |
[a1,a2,a3,a4,a6] |
Generators |
[144:-484:1] |
Generators of the group modulo torsion |
j |
39411764973000/19487171 |
j-invariant |
L |
3.2957606653639 |
L(r)(E,1)/r! |
Ω |
0.64996066687908 |
Real period |
R |
0.36219341891529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496ba1 17248ba1 34496i1 |
Quadratic twists by: -4 8 -7 |