Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206bc |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
446677162522164 = 22 · 39 · 77 · 832 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199856,34424191] |
[a1,a2,a3,a4,a6] |
Generators |
[2494:10999:8] |
Generators of the group modulo torsion |
j |
381235834251/192892 |
j-invariant |
L |
9.5312616015021 |
L(r)(E,1)/r! |
Ω |
0.52097221492401 |
Real period |
R |
4.5737859568204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73206c2 10458r2 |
Quadratic twists by: -3 -7 |