Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890cc |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
-3.3350604672656E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -1 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-53842434,152080771940] |
[a1,a2,a3,a4,a6] |
Generators |
[4336:9082:1] |
Generators of the group modulo torsion |
j |
-9862297098921556998849/19053906250000 |
j-invariant |
L |
5.1040560855852 |
L(r)(E,1)/r! |
Ω |
0.17798009889197 |
Real period |
R |
0.65176542690263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999601634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210j1 127890bi1 |
Quadratic twists by: -3 -7 |