Atkin-Lehner |
2- 5- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44950q |
Isogeny class |
Conductor |
44950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12544 |
Modular degree for the optimal curve |
Δ |
-28768000 = -1 · 28 · 53 · 29 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- -2 4 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,67,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[6:19:1] |
Generators of the group modulo torsion |
j |
265847707/230144 |
j-invariant |
L |
6.6547339570676 |
L(r)(E,1)/r! |
Ω |
1.1562485138783 |
Real period |
R |
1.4388632454891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44950c1 |
Quadratic twists by: 5 |