Cremona's table of elliptic curves

4560 = 2⁴ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	4560p	Isogeny class
Conductor	4560	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	259920 = 24 · 32 · 5 · 192	Discriminant
Eigenvalues	2- 3+ 5+  2  0 -4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-21,36]	[a1,a2,a3,a4,a6]
Generators	[0:6:1]	Generators of the group modulo torsion
j	67108864/16245	j-invariant
L	3.1079085635498	L(r)(E,1)/r!
Ω	2.9176513732247	Real period
R	1.0652090212254	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	1140b1 18240cp1 13680bt1 22800dg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560p1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	+	2	0	-4	-2	-	6	-2	0	-4	2	-2	6	-12	4	6	-12	0	-2	0	6	-14	8

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Quadratic twists for elliptic curve 4560p1

-4	8	-3	5	-19
1140b1	18240cp1	13680bt1	22800dg1	86640di1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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