Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3360p |
Isogeny class |
Conductor |
3360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147517440 = 212 · 3 · 5 · 74 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145,385] |
[a1,a2,a3,a4,a6] |
j |
82881856/36015 |
j-invariant |
L |
1.6504134145137 |
L(r)(E,1)/r! |
Ω |
1.6504134145137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3360w2 6720cc1 10080s2 16800s3 |
Quadratic twists by: -4 8 -3 5 |