Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bg |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6988800 |
Modular degree for the optimal curve |
Δ |
1490724530099650560 = 216 · 3 · 5 · 11 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-126168813,-545487126104] |
[a1,a2,a3,a4,a6] |
Generators |
[-16152885126620482186344297774966919053688823164946783:8095667998860408637284238176854225571774148937039354:2490897500763375270109064930605602738688943731051] |
Generators of the group modulo torsion |
j |
1611188063620251649/10813440 |
j-invariant |
L |
6.8785109666653 |
L(r)(E,1)/r! |
Ω |
0.04504655164651 |
Real period |
R |
76.348918121886 |
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 |
55770ct1 |
Quadratic twists by: 13 |