Atkin-Lehner |
2- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
9086g |
Isogeny class |
Conductor |
9086 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
7392 |
Modular degree for the optimal curve |
Δ |
4275835256 = 23 · 77 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11+ 1 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1901,30955] |
[a1,a2,a3,a4,a6] |
Generators |
[5:144:1] |
Generators of the group modulo torsion |
j |
759773848711249/4275835256 |
j-invariant |
L |
8.5092416120023 |
L(r)(E,1)/r! |
Ω |
1.3909652541289 |
Real period |
R |
0.29130992332203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72688d1 81774ba1 63602q1 99946c1 |
Quadratic twists by: -4 -3 -7 -11 |