Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
83664bc |
Isogeny class |
Conductor |
83664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21332312064 = 214 · 33 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7251,-237550] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:10:1] |
Generators of the group modulo torsion |
j |
381235834251/192892 |
j-invariant |
L |
4.2677891345319 |
L(r)(E,1)/r! |
Ω |
0.51738432496234 |
Real period |
R |
2.0621948376525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10458a2 83664ba2 |
Quadratic twists by: -4 -3 |