Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28158l |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-14497712885814912 = -1 · 27 · 33 · 13 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 3 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56143,-7754923] |
[a1,a2,a3,a4,a6] |
Generators |
[2487:122218:1] |
Generators of the group modulo torsion |
j |
-415996269625/308161152 |
j-invariant |
L |
7.2930681445071 |
L(r)(E,1)/r! |
Ω |
0.15022374206026 |
Real period |
R |
1.7338585490847 |
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 |
84474n1 1482e1 |
Quadratic twists by: -3 -19 |