Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1638q |
Isogeny class |
Conductor |
1638 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
458535168 = 28 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-509,4421] |
[a1,a2,a3,a4,a6] |
j |
19968681097/628992 |
j-invariant |
L |
3.315613366674 |
L(r)(E,1)/r! |
Ω |
1.657806683337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13104ck1 52416bq1 546c1 40950bl1 |
Quadratic twists by: -4 8 -3 5 |