Atkin-Lehner |
2+ 3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40248j |
Isogeny class |
Conductor |
40248 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5.5229377417841E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104154951,-408980011430] |
[a1,a2,a3,a4,a6] |
Generators |
[452343:304151728:1] |
Generators of the group modulo torsion |
j |
669569982121370994576208/295939308008837961 |
j-invariant |
L |
5.5773211068549 |
L(r)(E,1)/r! |
Ω |
0.047259714668581 |
Real period |
R |
9.8345231697615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80496k2 13416g2 |
Quadratic twists by: -4 -3 |