Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472dk |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1.3107784407342E+19 |
Discriminant |
Eigenvalues |
2- -2 4 7- 4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,582239,33369567] |
[a1,a2,a3,a4,a6] |
Generators |
[7483128144330365810:-323741250184027317011:16081245072521000] |
Generators of the group modulo torsion |
j |
3449795831/2071552 |
j-invariant |
L |
7.9668830270881 |
L(r)(E,1)/r! |
Ω |
0.13728602558947 |
Real period |
R |
29.015637898353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997653685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129472j1 32368bc1 7616f1 |
Quadratic twists by: -4 8 17 |