Atkin-Lehner |
3- 5- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123165r |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
Δ |
2.5055056059616E+25 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1151528117,15038778633284] |
[a1,a2,a3,a4,a6] |
Generators |
[13942:1294591:1] |
Generators of the group modulo torsion |
j |
231643342735910716278992066569/34369075527593994140625 |
j-invariant |
L |
5.4079152505103 |
L(r)(E,1)/r! |
Ω |
0.064856354647039 |
Real period |
R |
0.99265436011612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036787 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41055j2 |
Quadratic twists by: -3 |