Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
55770cp |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-59533877145600 = -1 · 212 · 37 · 52 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14661,776385] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:711:1] [-54:1215:1] |
Generators of the group modulo torsion |
j |
-158630351970637/27097804800 |
j-invariant |
L |
14.469724428634 |
L(r)(E,1)/r! |
Ω |
0.60135914647735 |
Real period |
R |
0.14322441519312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55770bo1 |
Quadratic twists by: 13 |