Atkin-Lehner |
2- 3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210z |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1996776822920670 = -1 · 2 · 324 · 5 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26635,1361225] |
[a1,a2,a3,a4,a6] |
Generators |
[-76584:15259975:13824] |
Generators of the group modulo torsion |
j |
2089684860894696239/1996776822920670 |
j-invariant |
L |
7.1094393140747 |
L(r)(E,1)/r! |
Ω |
0.30589397998558 |
Real period |
R |
11.620757156466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630p3 106050p3 |
Quadratic twists by: -3 5 |