Atkin-Lehner |
3+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18921c |
Isogeny class |
Conductor |
18921 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21139792426809 = 312 · 72 · 172 · 532 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13174,-543814] |
[a1,a2,a3,a4,a6] |
Generators |
[3523:207270:1] |
Generators of the group modulo torsion |
j |
252859194318650977/21139792426809 |
j-invariant |
L |
2.1431348264585 |
L(r)(E,1)/r! |
Ω |
0.44799574945168 |
Real period |
R |
4.78382848293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56763e2 |
Quadratic twists by: -3 |