Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bq |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-163767408 = -1 · 24 · 3 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,82,519] |
[a1,a2,a3,a4,a6] |
j |
32000/87 |
j-invariant |
L |
1.2737638668677 |
L(r)(E,1)/r! |
Ω |
1.273763884096 |
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 |
17052o1 1392o1 |
Quadratic twists by: -4 -7 |