Atkin-Lehner |
2- 5- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650y |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-9144320000 = -1 · 214 · 54 · 19 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -2 5 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,462,-2369] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-173:1] |
Generators of the group modulo torsion |
j |
17446602575/14630912 |
j-invariant |
L |
6.7324093077952 |
L(r)(E,1)/r! |
Ω |
0.71759301668938 |
Real period |
R |
0.22337934731983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44650c1 |
Quadratic twists by: 5 |