Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680eo |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-8.5769379174375E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192984987,-1123982734966] |
[a1,a2,a3,a4,a6] |
j |
-55150149867714721/5950927734375 |
j-invariant |
L |
1.2883429499782 |
L(r)(E,1)/r! |
Ω |
0.02013035343607 |
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 |
7605p8 40560bg7 9360bm8 |
Quadratic twists by: -4 -3 13 |