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	28560dc	Isogeny class
Conductor	28560	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	2936424960000 = 212 · 34 · 54 · 72 · 172	Discriminant
Eigenvalues	2- 3+ 5- 7- -4  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5920,-152768]	[a1,a2,a3,a4,a6]
Generators	[-48:136:1]	Generators of the group modulo torsion
j	5602762882081/716900625	j-invariant
L	5.5429183163167	L(r)(E,1)/r!
Ω	0.54885270905419	Real period
R	1.2623874823057	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1785m2 114240jk2 85680ek2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 28560dc2

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	6	-	4	0	6	8	-2	-6	-4	0	-10	-12	-2	-12	-16	10	-16	-4	-14	-14

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Quadratic twists for elliptic curve 28560dc2

-4	8	-3
1785m2	114240jk2	85680ek2

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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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