Atkin-Lehner |
7- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44051d |
Isogeny class |
Conductor |
44051 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
733740 |
Modular degree for the optimal curve |
Δ |
-234523770164124371 = -1 · 710 · 29 · 315 |
Discriminant |
Eigenvalues |
0 -3 -2 7- -4 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-110446,-27248349] |
[a1,a2,a3,a4,a6] |
j |
-527464562688/830245379 |
j-invariant |
L |
0.12410148068947 |
L(r)(E,1)/r! |
Ω |
0.12410148053221 |
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 |
44051b1 |
Quadratic twists by: -7 |