Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56628q |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.7554012512202E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1817904,-964714124] |
[a1,a2,a3,a4,a6] |
Generators |
[1749:34727:1] [27357:4519229:1] |
Generators of the group modulo torsion |
j |
-2009615368192/53094899 |
j-invariant |
L |
7.9750087431832 |
L(r)(E,1)/r! |
Ω |
0.064908205225994 |
Real period |
R |
15.35824460756 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6292d2 5148d2 |
Quadratic twists by: -3 -11 |