Atkin-Lehner |
2+ 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
28016a |
Isogeny class |
Conductor |
28016 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-8096624 = -1 · 24 · 173 · 103 |
Discriminant |
Eigenvalues |
2+ 0 3 2 -5 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,-123] |
[a1,a2,a3,a4,a6] |
Generators |
[820:2337:125] |
Generators of the group modulo torsion |
j |
168576768/506039 |
j-invariant |
L |
6.6676063147432 |
L(r)(E,1)/r! |
Ω |
1.1951015968438 |
Real period |
R |
5.5791125477133 |
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 |
14008b1 112064i1 |
Quadratic twists by: -4 8 |