Atkin-Lehner |
3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28611v |
Isogeny class |
Conductor |
28611 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-266530971321747 = -1 · 310 · 11 · 177 |
Discriminant |
Eigenvalues |
2 3- 0 3 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-21675,-1457933] |
[a1,a2,a3,a4,a6] |
Generators |
[125134090858:-689000602019:667627624] |
Generators of the group modulo torsion |
j |
-64000000/15147 |
j-invariant |
L |
11.839853153983 |
L(r)(E,1)/r! |
Ω |
0.19429947449714 |
Real period |
R |
15.234026217293 |
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 |
9537e1 1683i1 |
Quadratic twists by: -3 17 |