Atkin-Lehner |
3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585s |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.1995446799159E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5129280,-1004699025] |
[a1,a2,a3,a4,a6] |
Generators |
[-1902:44169:1] [-642:45303:1] |
Generators of the group modulo torsion |
j |
174011204426291569/95603538836925 |
j-invariant |
L |
11.824641700526 |
L(r)(E,1)/r! |
Ω |
0.1072605693594 |
Real period |
R |
13.780275654051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195u3 11655l4 |
Quadratic twists by: -3 -7 |