Atkin-Lehner |
2+ 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
22632c |
Isogeny class |
Conductor |
22632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
599657472 = 210 · 33 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23608,-1404064] |
[a1,a2,a3,a4,a6] |
Generators |
[235:2466:1] |
Generators of the group modulo torsion |
j |
1421083971062500/585603 |
j-invariant |
L |
6.6795654345672 |
L(r)(E,1)/r! |
Ω |
0.38515295416681 |
Real period |
R |
5.7808768891283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45264d2 67896g2 |
Quadratic twists by: -4 -3 |