Atkin-Lehner |
2+ 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024g |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
136411693056 = 214 · 311 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 -5 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18309,959517] |
[a1,a2,a3,a4,a6] |
Generators |
[44:487:1] |
Generators of the group modulo torsion |
j |
41430613746688/8325909 |
j-invariant |
L |
4.2448682506859 |
L(r)(E,1)/r! |
Ω |
1.0072595979753 |
Real period |
R |
4.214274313413 |
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 |
9024bw1 1128g1 27072bi1 |
Quadratic twists by: -4 8 -3 |