Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360cv |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4602248171136000 = 210 · 34 · 53 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-493005480,4213168172100] |
[a1,a2,a3,a4,a6] |
j |
109999511474021786850916/38201625 |
j-invariant |
L |
2.1781792780309 |
L(r)(E,1)/r! |
Ω |
0.18151499746526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680ch4 18480c3 |
Quadratic twists by: -4 -7 |