Atkin-Lehner |
2- 3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630bk |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
194299099142400 = 28 · 34 · 52 · 73 · 1033 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-632484020,-6122463270000] |
[a1,a2,a3,a4,a6] |
j |
27981589701934396724116367119681/194299099142400 |
j-invariant |
L |
4.3351053644153 |
L(r)(E,1)/r! |
Ω |
0.030104898363995 |
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 |
64890y3 108150f3 |
Quadratic twists by: -3 5 |