Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496co |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4629974745088 = 233 · 72 · 11 |
Discriminant |
Eigenvalues |
2- -1 0 7- 11+ 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4993,-86239] |
[a1,a2,a3,a4,a6] |
Generators |
[-681:4096:27] |
Generators of the group modulo torsion |
j |
1071912625/360448 |
j-invariant |
L |
3.9345738275149 |
L(r)(E,1)/r! |
Ω |
0.58334646865973 |
Real period |
R |
1.686207956549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496bh1 8624z1 34496ca1 |
Quadratic twists by: -4 8 -7 |