Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322bb |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
3.8756692663486E+19 |
Discriminant |
Eigenvalues |
2- -2 -4 7- 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-849955,-35461119] |
[a1,a2,a3,a4,a6] |
Generators |
[-724:14523:1] |
Generators of the group modulo torsion |
j |
23912763841/13647872 |
j-invariant |
L |
4.5385507810475 |
L(r)(E,1)/r! |
Ω |
0.17019211127289 |
Real period |
R |
0.95240077880712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046l1 1666m1 |
Quadratic twists by: -7 17 |