Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208cp |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2680246599711916032 = 216 · 310 · 77 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353208,17878356] |
[a1,a2,a3,a4,a6] |
Generators |
[-516:7938:1] |
Generators of the group modulo torsion |
j |
10112728515625/5561943408 |
j-invariant |
L |
8.7197114136397 |
L(r)(E,1)/r! |
Ω |
0.22230781440689 |
Real period |
R |
0.980589845351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8526f2 9744i2 |
Quadratic twists by: -4 -7 |