Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840ba |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-10536048000000 = -1 · 210 · 33 · 56 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 3 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1945,-158975] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3625:1] |
Generators of the group modulo torsion |
j |
-795070868224/10289109375 |
j-invariant |
L |
5.3556443162859 |
L(r)(E,1)/r! |
Ω |
0.30817445019467 |
Real period |
R |
0.96547846572375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840ef2 1740e2 83520t2 |
Quadratic twists by: -4 8 -3 |