Atkin-Lehner |
2+ 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44850p |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-1180676250 = -1 · 2 · 35 · 54 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 4 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,100,1650] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:35:1] |
Generators of the group modulo torsion |
j |
174196775/1889082 |
j-invariant |
L |
3.75462911241 |
L(r)(E,1)/r! |
Ω |
1.1341544512517 |
Real period |
R |
0.55175158731267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44850bw1 |
Quadratic twists by: 5 |