Atkin-Lehner |
3+ 13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
28509a |
Isogeny class |
Conductor |
28509 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1150850011048803 = 38 · 132 · 176 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-47048,-3592330] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:634:1] |
Generators of the group modulo torsion |
j |
11517223328239722625/1150850011048803 |
j-invariant |
L |
1.8513776463011 |
L(r)(E,1)/r! |
Ω |
0.32624989576986 |
Real period |
R |
2.8373612839514 |
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 |
85527b2 |
Quadratic twists by: -3 |