Atkin-Lehner |
2- 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6204a |
Isogeny class |
Conductor |
6204 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
13102848 = 28 · 32 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2252,-40392] |
[a1,a2,a3,a4,a6] |
j |
4936074881488/51183 |
j-invariant |
L |
2.0790403277267 |
L(r)(E,1)/r! |
Ω |
0.69301344257558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24816y2 99264u2 18612m2 68244b2 |
Quadratic twists by: -4 8 -3 -11 |