Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
20328w |
Isogeny class |
Conductor |
20328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
78710016 = 28 · 3 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-717] |
[a1,a2,a3,a4,a6] |
j |
123904/21 |
j-invariant |
L |
2.710090227835 |
L(r)(E,1)/r! |
Ω |
1.3550451139175 |
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 |
40656r1 60984s1 20328j1 |
Quadratic twists by: -4 -3 -11 |