Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28050cz |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-3.437592576E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 0 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-569713,-907314583] |
[a1,a2,a3,a4,a6] |
Generators |
[50122:-11245061:1] |
Generators of the group modulo torsion |
j |
-1308796492121439049/22000592486400000 |
j-invariant |
L |
10.670865967427 |
L(r)(E,1)/r! |
Ω |
0.073338125720105 |
Real period |
R |
1.3990605765904 |
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 |
84150cr1 5610c1 |
Quadratic twists by: -3 5 |