Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510dj |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
8.5086352447533E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6900998,5386258581] |
[a1,a2,a3,a4,a6] |
Generators |
[3285:-136393:1] |
Generators of the group modulo torsion |
j |
423783056881319689/99207416000000 |
j-invariant |
L |
8.2549225645773 |
L(r)(E,1)/r! |
Ω |
0.12289063857738 |
Real period |
R |
0.31098572305878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390p4 6930bk4 |
Quadratic twists by: -3 -7 |