Atkin-Lehner |
2+ 3+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4872c |
Isogeny class |
Conductor |
4872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-1091328 = -1 · 28 · 3 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20,-44] |
[a1,a2,a3,a4,a6] |
Generators |
[6:16:1] |
Generators of the group modulo torsion |
j |
3286064/4263 |
j-invariant |
L |
2.1509942197269 |
L(r)(E,1)/r! |
Ω |
1.4722155624197 |
Real period |
R |
1.4610592868557 |
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 |
9744f1 38976t1 14616n1 121800bq1 |
Quadratic twists by: -4 8 -3 5 |