Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208u |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
44680989459456 = 210 · 32 · 78 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10992,301860] |
[a1,a2,a3,a4,a6] |
Generators |
[608:14790:1] |
Generators of the group modulo torsion |
j |
1219284868/370881 |
j-invariant |
L |
9.6824240139701 |
L(r)(E,1)/r! |
Ω |
0.59309301001958 |
Real period |
R |
4.0813261366091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001072 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34104e2 9744c2 |
Quadratic twists by: -4 -7 |