Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294j |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
2819695374865893888 = 29 · 39 · 73 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34423557,-77729060395] |
[a1,a2,a3,a4,a6] |
j |
280965399667875/175616 |
j-invariant |
L |
1.1219103109685 |
L(r)(E,1)/r! |
Ω |
0.062328350609363 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21294bv1 21294bo2 |
Quadratic twists by: -3 13 |