Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
11712bm |
Isogeny class |
Conductor |
11712 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1646051328 = 214 · 33 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-657,5967] |
[a1,a2,a3,a4,a6] |
j |
1917170512/100467 |
j-invariant |
L |
4.4335332140432 |
L(r)(E,1)/r! |
Ω |
1.4778444046811 |
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 |
11712g2 2928h2 35136cp2 |
Quadratic twists by: -4 8 -3 |