Cremona's table of elliptic curves

5600 = 2⁵ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+	Signs for the Atkin-Lehner involutions
Class	5600a	Isogeny class
Conductor	5600	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	9800000000 = 29 · 58 · 72	Discriminant
Eigenvalues	2+  0 5+ 7+  0  2 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-326675,-71865750]	[a1,a2,a3,a4,a6]
Generators	[246592175610:3805920748275:317214568]	Generators of the group modulo torsion
j	481927184300808/1225	j-invariant
L	3.6844714953716	L(r)(E,1)/r!
Ω	0.19969655819833	Real period
R	18.450350514866	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	5600d3 11200bt3 50400cv4 1120o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5600a2

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
+	0	+	+	0	2	-2	8	-8	6	0	2	-6	-8	8	2	8	-2	-8	0	-10	-16	-16	10	14

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Quadratic twists for elliptic curve 5600a2

-4	8	-3	5	-7
5600d3	11200bt3	50400cv4	1120o2	39200e4

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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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