Atkin-Lehner |
2- 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9588c |
Isogeny class |
Conductor |
9588 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2256 |
Modular degree for the optimal curve |
Δ |
-28840704 = -1 · 28 · 3 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -1 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51,201] |
[a1,a2,a3,a4,a6] |
j |
56188928/112659 |
j-invariant |
L |
2.8996052828837 |
L(r)(E,1)/r! |
Ω |
1.4498026414419 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38352v1 28764a1 |
Quadratic twists by: -4 -3 |