Atkin-Lehner |
2+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42944d |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-316969664 = -1 · 26 · 113 · 612 |
Discriminant |
Eigenvalues |
2+ 1 3 -2 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239,1583] |
[a1,a2,a3,a4,a6] |
j |
-23689358848/4952651 |
j-invariant |
L |
3.2901205856724 |
L(r)(E,1)/r! |
Ω |
1.6450602927992 |
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 |
42944l1 21472b1 |
Quadratic twists by: -4 8 |