Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770db |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
53349236226000 = 24 · 315 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-80025,8699625] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:3675:1] |
Generators of the group modulo torsion |
j |
335362420207052329/315675954000 |
j-invariant |
L |
13.324919121255 |
L(r)(E,1)/r! |
Ω |
0.62687410513733 |
Real period |
R |
0.11808962572351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770v1 |
Quadratic twists by: 13 |