Atkin-Lehner |
2+ 3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210r |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
17700674210100 = 22 · 35 · 52 · 7 · 1014 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-907413,-332777444] |
[a1,a2,a3,a4,a6] |
Generators |
[-550:282:1] |
Generators of the group modulo torsion |
j |
82630049845084383587401/17700674210100 |
j-invariant |
L |
4.7802064329506 |
L(r)(E,1)/r! |
Ω |
0.15468505938149 |
Real period |
R |
1.5451416096889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bj4 106050bk4 |
Quadratic twists by: -3 5 |