Atkin-Lehner |
2+ 3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158w |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-6.0810932408131E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,515853,1177718265] |
[a1,a2,a3,a4,a6] |
Generators |
[2470:131115:1] |
Generators of the group modulo torsion |
j |
20824452493149863375/834169168835812628 |
j-invariant |
L |
3.8216804886195 |
L(r)(E,1)/r! |
Ω |
0.12319402094825 |
Real period |
R |
7.755409838459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000056 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7462i3 |
Quadratic twists by: -3 |