Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5264j |
Isogeny class |
Conductor |
5264 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-7768553590784 = -1 · 212 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 1 3 7- -3 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3936,95924] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:98:1] |
Generators of the group modulo torsion |
j |
1645957774943/1896619529 |
j-invariant |
L |
5.1005156901488 |
L(r)(E,1)/r! |
Ω |
0.49349836589695 |
Real period |
R |
0.5741903162557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
329a1 21056z1 47376ca1 36848u1 |
Quadratic twists by: -4 8 -3 -7 |