Atkin-Lehner |
29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44573a |
Isogeny class |
Conductor |
44573 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47656 |
Modular degree for the optimal curve |
Δ |
-31525636013 = -1 · 296 · 53 |
Discriminant |
Eigenvalues |
1 3 0 -4 0 -3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,263,8318] |
[a1,a2,a3,a4,a6] |
Generators |
[743502:123005614:27] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
10.812133199607 |
L(r)(E,1)/r! |
Ω |
0.87047308982419 |
Real period |
R |
12.420985009158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53a1 |
Quadratic twists by: 29 |