Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43560bp |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3493076400000000 = -1 · 210 · 38 · 58 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59763,6301438] |
[a1,a2,a3,a4,a6] |
Generators |
[11:2376:1] |
Generators of the group modulo torsion |
j |
-23758298924/3515625 |
j-invariant |
L |
5.6784504123192 |
L(r)(E,1)/r! |
Ω |
0.42994332383074 |
Real period |
R |
1.6509299300547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120r2 14520t2 43560i2 |
Quadratic twists by: -4 -3 -11 |