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	4560f	Isogeny class
Conductor	4560	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	4560 = 24 · 3 · 5 · 19	Discriminant
Eigenvalues	2+ 3+ 5- -4  0  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-95,390]	[a1,a2,a3,a4,a6]
Generators	[22:92:1]	Generators of the group modulo torsion
j	5988775936/285	j-invariant
L	3.0409483353379	L(r)(E,1)/r!
Ω	4.0999964985131	Real period
R	2.9667813974385	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	2280j1 18240cl1 13680q1 22800bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560f1

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
+	+	-	-4	0	2	2	-	0	-6	-8	2	6	8	8	-10	-12	-2	4	8	2	0	-4	-10	6

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Quadratic twists for elliptic curve 4560f1

-4	8	-3	5	-19
2280j1	18240cl1	13680q1	22800bh1	86640bi1

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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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