Atkin-Lehner |
5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44785f |
Isogeny class |
Conductor |
44785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-223925 = -1 · 52 · 132 · 53 |
Discriminant |
Eigenvalues |
-1 1 5- -2 -6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10,25] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] [0:5:1] |
Generators of the group modulo torsion |
j |
-658489/1325 |
j-invariant |
L |
6.7046845991081 |
L(r)(E,1)/r! |
Ω |
2.8006443717084 |
Real period |
R |
1.1969896404621 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44785b1 |
Quadratic twists by: 13 |