Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28028i |
Isogeny class |
Conductor |
28028 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1599119813747456 = -1 · 28 · 76 · 11 · 136 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81797,9234961] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:3871:1] [56:2197:1] |
Generators of the group modulo torsion |
j |
-2009615368192/53094899 |
j-invariant |
L |
5.8727668249716 |
L(r)(E,1)/r! |
Ω |
0.47375159372068 |
Real period |
R |
3.0990749703079 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112112bb2 572a2 |
Quadratic twists by: -4 -7 |