Atkin-Lehner |
7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48503d |
Isogeny class |
Conductor |
48503 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-630539 = -1 · 7 · 133 · 41 |
Discriminant |
Eigenvalues |
-2 -3 -1 7+ 4 13- -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13,42] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:5:1] [0:6:1] |
Generators of the group modulo torsion |
j |
-110592/287 |
j-invariant |
L |
2.9250537011789 |
L(r)(E,1)/r! |
Ω |
2.5492938967017 |
Real period |
R |
0.57369880047259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48503j1 |
Quadratic twists by: 13 |