Atkin-Lehner |
3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61005w |
Isogeny class |
Conductor |
61005 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.3462570505191E+20 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6301191433,-192523305165019] |
[a1,a2,a3,a4,a6] |
j |
235181682805406648986415067769/1144299611997675 |
j-invariant |
L |
4.8801859899824 |
L(r)(E,1)/r! |
Ω |
0.016945090248997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715d3 |
Quadratic twists by: -7 |