Atkin-Lehner |
2+ 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33930g |
Isogeny class |
Conductor |
33930 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
972158882093568000 = 212 · 318 · 53 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-254835,-14126859] |
[a1,a2,a3,a4,a6] |
j |
2510581756496128561/1333551278592000 |
j-invariant |
L |
0.90279356728895 |
L(r)(E,1)/r! |
Ω |
0.22569839182246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310n1 |
Quadratic twists by: -3 |