Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
68208bp |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.6099844831447E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4021348,3006326380] |
[a1,a2,a3,a4,a6] |
j |
238786949809042000/8665821118143 |
j-invariant |
L |
1.3871621751141 |
L(r)(E,1)/r! |
Ω |
0.17339527367737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17052n2 9744t2 |
Quadratic twists by: -4 -7 |