Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770r |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
2.2071812864999E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20649437,-28177891971] |
[a1,a2,a3,a4,a6] |
Generators |
[-3167:75521:1] |
Generators of the group modulo torsion |
j |
201738262891771037089/45727545600000000 |
j-invariant |
L |
3.150456178401 |
L(r)(E,1)/r! |
Ω |
0.071973864591909 |
Real period |
R |
2.7357640481276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997314 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
330d2 |
Quadratic twists by: 13 |