Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990s |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6747411330450 = 2 · 34 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1058279,418944656] |
[a1,a2,a3,a4,a6] |
Generators |
[606:-818:1] |
Generators of the group modulo torsion |
j |
1114128841413009241/57352050 |
j-invariant |
L |
4.2330875894059 |
L(r)(E,1)/r! |
Ω |
0.56121936738663 |
Real period |
R |
0.47141632971408 |
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 |
74970dx2 124950fp2 3570h2 |
Quadratic twists by: -3 5 -7 |