Atkin-Lehner |
2- 3- 5+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630z |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-7482965270842706400 = -1 · 25 · 38 · 52 · 712 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,240934,-123469500] |
[a1,a2,a3,a4,a6] |
j |
1546741977258844068191/7482965270842706400 |
j-invariant |
L |
4.7308400997556 |
L(r)(E,1)/r! |
Ω |
0.11827100249389 |
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 |
64890bi3 108150l3 |
Quadratic twists by: -3 5 |