Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665bt |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3995039520005625 = 38 · 54 · 78 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-65057,-5600136] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:651:1] [-1314:7023:8] |
Generators of the group modulo torsion |
j |
355045312441/46580625 |
j-invariant |
L |
5.6589536681263 |
L(r)(E,1)/r! |
Ω |
0.30152329790216 |
Real period |
R |
2.3459852470348 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9555c2 4095h2 |
Quadratic twists by: -3 -7 |