Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360bx |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-516800 = -1 · 26 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-35] |
[a1,a2,a3,a4,a6] |
Generators |
[84:35:27] |
Generators of the group modulo torsion |
j |
-4096/8075 |
j-invariant |
L |
8.3738952078097 |
L(r)(E,1)/r! |
Ω |
1.3281579516945 |
Real period |
R |
3.1524470356967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360p1 25840be1 |
Quadratic twists by: -4 8 |