Atkin-Lehner |
2- 3+ 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cd |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1537536 |
Modular degree for the optimal curve |
Δ |
99400044395520000 = 213 · 316 · 54 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1989813,-1081077669] |
[a1,a2,a3,a4,a6] |
j |
1394056899350950653025/159040071032832 |
j-invariant |
L |
3.3050102276368 |
L(r)(E,1)/r! |
Ω |
0.12711577820194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650be1 |
Quadratic twists by: 5 |