Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
38775d |
Isogeny class |
Conductor |
38775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.21399974823E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29362250,-61241947875] |
[a1,a2,a3,a4,a6] |
Generators |
[-45256088124:-18805807641:14526784] |
Generators of the group modulo torsion |
j |
179172645214079475545761/33369598388671875 |
j-invariant |
L |
4.5796298880161 |
L(r)(E,1)/r! |
Ω |
0.064857032423097 |
Real period |
R |
17.652788436804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325q6 7755h5 |
Quadratic twists by: -3 5 |