Atkin-Lehner |
3+ 5+ 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
48555a |
Isogeny class |
Conductor |
48555 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.7974121000284E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 3 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1377432,169979789] |
[a1,a2,a3,a4,a6] |
Generators |
[607:35067:1] |
Generators of the group modulo torsion |
j |
14683950914136440832/9131799522574625 |
j-invariant |
L |
4.6716852453895 |
L(r)(E,1)/r! |
Ω |
0.11150102656767 |
Real period |
R |
1.1638371285679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48555b1 |
Quadratic twists by: -3 |