Atkin-Lehner |
2+ 3- 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210q |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
14595194880 = 216 · 32 · 5 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1803,28726] |
[a1,a2,a3,a4,a6] |
j |
647686121198761/14595194880 |
j-invariant |
L |
2.4950956435465 |
L(r)(E,1)/r! |
Ω |
1.2475478217732 |
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 |
63630bn1 106050bf1 |
Quadratic twists by: -3 5 |