Atkin-Lehner |
3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21675k |
Isogeny class |
Conductor |
21675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4.7324391214799E+19 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 -6 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3092450,-2068114125] |
[a1,a2,a3,a4,a6] |
j |
69375867029/1003833 |
j-invariant |
L |
2.0510531405878 |
L(r)(E,1)/r! |
Ω |
0.11394739669932 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65025cg2 21675x2 1275g2 |
Quadratic twists by: -3 5 17 |