Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5382k |
Isogeny class |
Conductor |
5382 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-3760512417792 = -1 · 214 · 310 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44924,-3654849] |
[a1,a2,a3,a4,a6] |
j |
-13753789599860857/5158453248 |
j-invariant |
L |
4.5909120214558 |
L(r)(E,1)/r! |
Ω |
0.16396114362342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43056bw1 1794d1 69966j1 123786bo1 |
Quadratic twists by: -4 -3 13 -23 |