Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cl |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2538335232000 = 213 · 35 · 53 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207528,-36319248] |
[a1,a2,a3,a4,a6] |
Generators |
[698:12586:1] |
Generators of the group modulo torsion |
j |
1930571745696413/4957686 |
j-invariant |
L |
5.5244831445914 |
L(r)(E,1)/r! |
Ω |
0.22368160588938 |
Real period |
R |
6.1744942506632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999754165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15150o2 121200du2 |
Quadratic twists by: -4 5 |