Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294p |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
2392775901315072 = 221 · 39 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-90882,10302228] |
[a1,a2,a3,a4,a6] |
j |
673822943613625/19421724672 |
j-invariant |
L |
0.91470859327803 |
L(r)(E,1)/r! |
Ω |
0.45735429663902 |
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 |
7098w2 21294cj2 |
Quadratic twists by: -3 13 |