Atkin-Lehner |
2- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
127088o |
Isogeny class |
Conductor |
127088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2296320 |
Modular degree for the optimal curve |
Δ |
-1247352457193230336 = -1 · 212 · 1310 · 472 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 2 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,218968,36569716] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:1786:1] |
Generators of the group modulo torsion |
j |
2056223/2209 |
j-invariant |
L |
2.6531195568978 |
L(r)(E,1)/r! |
Ω |
0.18073575052606 |
Real period |
R |
3.6698877252018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999651184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7943a1 127088i1 |
Quadratic twists by: -4 13 |