Atkin-Lehner |
2- 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150cd |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
8492138085937500000 = 25 · 39 · 514 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-899105,296906897] |
[a1,a2,a3,a4,a6] |
j |
7056785934088129/745537500000 |
j-invariant |
L |
4.5071871342314 |
L(r)(E,1)/r! |
Ω |
0.22535935671157 |
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 |
7050e2 4230k2 |
Quadratic twists by: -3 5 |