Atkin-Lehner |
2+ 3- 7- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158q |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.9281864174096E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-996381,96784389] |
[a1,a2,a3,a4,a6] |
Generators |
[1713:57576:1] |
Generators of the group modulo torsion |
j |
150062694782364873937/81319429594096512 |
j-invariant |
L |
5.0012076972899 |
L(r)(E,1)/r! |
Ω |
0.17239327767856 |
Real period |
R |
3.6263070727842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22386z3 |
Quadratic twists by: -3 |