Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dp |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-643192579570694400 = -1 · 28 · 36 · 52 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-420303,111752602] |
[a1,a2,a3,a4,a6] |
Generators |
[85098:4684004:27] |
Generators of the group modulo torsion |
j |
-9115564624/714025 |
j-invariant |
L |
5.8176865124832 |
L(r)(E,1)/r! |
Ω |
0.28253318335705 |
Real period |
R |
5.1477904662956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000291 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30420k2 13520bd2 9360bv2 |
Quadratic twists by: -4 -3 13 |