Atkin-Lehner |
5+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65975l |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-10102421875 = -1 · 57 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
0 -2 5+ 7- 3 13- 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-533,6594] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:87:1] |
Generators of the group modulo torsion |
j |
-1073741824/646555 |
j-invariant |
L |
3.3696185388218 |
L(r)(E,1)/r! |
Ω |
1.1927272738461 |
Real period |
R |
0.47085624866885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13195a1 |
Quadratic twists by: 5 |