Atkin-Lehner |
2- 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
44880bk |
Isogeny class |
Conductor |
44880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-100857208320000 = -1 · 212 · 36 · 54 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29941,-2041859] |
[a1,a2,a3,a4,a6] |
j |
-724731558068224/24623341875 |
j-invariant |
L |
2.1732822760317 |
L(r)(E,1)/r! |
Ω |
0.18110685634873 |
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 |
2805c1 |
Quadratic twists by: -4 |