Atkin-Lehner |
11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110561d |
Isogeny class |
Conductor |
110561 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
16366995923729 = 11 · 19 · 238 |
Discriminant |
Eigenvalues |
-1 2 -2 4 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6359,-17084] |
[a1,a2,a3,a4,a6] |
j |
192100033/110561 |
j-invariant |
L |
2.3269438981816 |
L(r)(E,1)/r! |
Ω |
0.58173591540061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4807a1 |
Quadratic twists by: -23 |