Atkin-Lehner |
3- 5+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129675w |
Isogeny class |
Conductor |
129675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
195121080984375 = 34 · 56 · 7 · 132 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-159426,-24505127] |
[a1,a2,a3,a4,a6] |
Generators |
[101972:3877023:64] |
Generators of the group modulo torsion |
j |
28679872714374673/12487749183 |
j-invariant |
L |
9.4727267184008 |
L(r)(E,1)/r! |
Ω |
0.23893041789086 |
Real period |
R |
4.9557976909159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000224028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5187b3 |
Quadratic twists by: 5 |