Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20384o |
Isogeny class |
Conductor |
20384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-385828352 = -1 · 29 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ -3 2 7- -3 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259,-1862] |
[a1,a2,a3,a4,a6] |
j |
-10941048/2197 |
j-invariant |
L |
1.1773437281251 |
L(r)(E,1)/r! |
Ω |
0.58867186406258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20384n1 40768ee1 20384u1 |
Quadratic twists by: -4 8 -7 |