Atkin-Lehner |
13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9503a |
Isogeny class |
Conductor |
9503 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-2280300280999 = -1 · 133 · 176 · 43 |
Discriminant |
Eigenvalues |
1 -2 2 0 6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,330,-72589] |
[a1,a2,a3,a4,a6] |
Generators |
[12012690833165:-385793354904628:12024728171] |
Generators of the group modulo torsion |
j |
3991682340647/2280300280999 |
j-invariant |
L |
4.2939467579374 |
L(r)(E,1)/r! |
Ω |
0.38329217548318 |
Real period |
R |
22.405606128142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85527d1 123539d1 |
Quadratic twists by: -3 13 |