Atkin-Lehner |
2- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4592f |
Isogeny class |
Conductor |
4592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
290041400651677696 = 233 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3 -1 7+ 2 0 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309643,-61048006] |
[a1,a2,a3,a4,a6] |
j |
801581275315909089/70810888830976 |
j-invariant |
L |
3.6635270596016 |
L(r)(E,1)/r! |
Ω |
0.20352928108898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
574i1 18368u1 41328bi1 114800by1 |
Quadratic twists by: -4 8 -3 5 |