Cremona's table of elliptic curves

28560 = 2⁴ · 3 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 7- 17-	Signs for the Atkin-Lehner involutions
Class	28560ca	Isogeny class
Conductor	28560	Conductor
∏ cp	2048	Product of Tamagawa factors cp
Δ	2.4960023993601E+19	Discriminant
Eigenvalues	2+ 3- 5- 7- -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2095000,-1142821852]	[a1,a2,a3,a4,a6]
Generators	[-874:4620:1]	Generators of the group modulo torsion
j	993061270514775420004/24375023431250625	j-invariant
L	7.2220734823881	L(r)(E,1)/r!
Ω	0.12567627534243	Real period
R	1.7958027138352	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	14280bk3 114240gh3 85680be3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 28560ca3

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	-2	-	4	0	-2	0	-2	10	-4	0	-2	-4	-10	-12	0	-6	16	-12	-6	2

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Quadratic twists for elliptic curve 28560ca3

-4	8	-3
14280bk3	114240gh3	85680be3

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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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