Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650cm |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
948489914531250 = 2 · 34 · 57 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28588,-1127458] |
[a1,a2,a3,a4,a6] |
Generators |
[-506:5491:8] |
Generators of the group modulo torsion |
j |
165369706597369/60703354530 |
j-invariant |
L |
8.1129182003364 |
L(r)(E,1)/r! |
Ω |
0.37847116412331 |
Real period |
R |
5.359006820988 |
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 |
109200dr3 40950x3 2730f3 95550hn3 |
Quadratic twists by: -4 -3 5 -7 |