Atkin-Lehner |
2+ 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726p |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-41020345780704 = -1 · 25 · 36 · 173 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 0 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8622,-4428] |
[a1,a2,a3,a4,a6] |
j |
97228123877087/56269335776 |
j-invariant |
L |
3.4599972071205 |
L(r)(E,1)/r! |
Ω |
0.3844441341245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2414c2 |
Quadratic twists by: -3 |