Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
83496l |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
55105392070084608 = 211 · 32 · 76 · 714 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101152,-5042708] |
[a1,a2,a3,a4,a6] |
Generators |
[-16508:125097:64] |
Generators of the group modulo torsion |
j |
475043342114/228705129 |
j-invariant |
L |
6.9751902405505 |
L(r)(E,1)/r! |
Ω |
0.28085477347701 |
Real period |
R |
6.2088941512493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1704d3 |
Quadratic twists by: -7 |