Atkin-Lehner |
7+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44051b |
Isogeny class |
Conductor |
44051 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
104820 |
Modular degree for the optimal curve |
Δ |
-1993419154979 = -1 · 74 · 29 · 315 |
Discriminant |
Eigenvalues |
0 3 2 7+ -4 -6 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2254,79441] |
[a1,a2,a3,a4,a6] |
j |
-527464562688/830245379 |
j-invariant |
L |
3.7194032937358 |
L(r)(E,1)/r! |
Ω |
0.74388065879734 |
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 |
44051d1 |
Quadratic twists by: -7 |