Atkin-Lehner |
2- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34592d |
Isogeny class |
Conductor |
34592 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
553472 = 29 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11531,-476594] |
[a1,a2,a3,a4,a6] |
Generators |
[375254:5753004:1331] |
Generators of the group modulo torsion |
j |
331172805806856/1081 |
j-invariant |
L |
2.4501384444723 |
L(r)(E,1)/r! |
Ω |
0.46071548739829 |
Real period |
R |
10.636232171433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34592c4 69184e4 |
Quadratic twists by: -4 8 |