Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
83655bj |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7770217461435 = 312 · 5 · 113 · 133 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4152654,3258180693] |
[a1,a2,a3,a4,a6] |
Generators |
[-15858:494415:8] |
Generators of the group modulo torsion |
j |
4944739615233026077/4851495 |
j-invariant |
L |
10.703621323689 |
L(r)(E,1)/r! |
Ω |
0.46540848785314 |
Real period |
R |
3.8330561941921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27885q2 83655m2 |
Quadratic twists by: -3 13 |