Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611n |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-1309466662103743011 = -1 · 310 · 11 · 1710 |
Discriminant |
Eigenvalues |
0 3- 1 0 11- 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1002252,-390105711] |
[a1,a2,a3,a4,a6] |
Generators |
[21702627079:-2120404153990:2248091] |
Generators of the group modulo torsion |
j |
-75759616/891 |
j-invariant |
L |
5.0622309363503 |
L(r)(E,1)/r! |
Ω |
0.075391280755316 |
Real period |
R |
16.786526524135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9537h1 28611j1 |
Quadratic twists by: -3 17 |