Atkin-Lehner |
2- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
688b |
Isogeny class |
Conductor |
688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-20353792 = -1 · 28 · 433 |
Discriminant |
Eigenvalues |
2- 2 0 4 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,67,-79] |
[a1,a2,a3,a4,a6] |
j |
128000000/79507 |
j-invariant |
L |
2.4922903027455 |
L(r)(E,1)/r! |
Ω |
1.2461451513727 |
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 |
172a2 2752f2 6192n2 17200y2 |
Quadratic twists by: -4 8 -3 5 |