Atkin-Lehner |
13+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
9269b |
Isogeny class |
Conductor |
9269 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10224 |
Modular degree for the optimal curve |
Δ |
1566461 = 133 · 23 · 31 |
Discriminant |
Eigenvalues |
0 -2 -1 -3 -6 13+ -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16591,817034] |
[a1,a2,a3,a4,a6] |
Generators |
[74:0:1] |
Generators of the group modulo torsion |
j |
505088613813551104/1566461 |
j-invariant |
L |
0.92723586312518 |
L(r)(E,1)/r! |
Ω |
1.7741151816085 |
Real period |
R |
0.52264693563159 |
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 |
83421g1 120497c1 |
Quadratic twists by: -3 13 |