Cremona's table of elliptic curves

28880 = 2⁴ · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	28880k	Isogeny class
Conductor	28880	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	69120	Modular degree for the optimal curve
Δ	33967126082000 = 24 · 53 · 198	Discriminant
Eigenvalues	2+ -2 5-  0  4 -4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-12755,474100]	[a1,a2,a3,a4,a6]
Generators	[10:5415:8]	Generators of the group modulo torsion
j	304900096/45125	j-invariant
L	3.9725875463468	L(r)(E,1)/r!
Ω	0.62791081245087	Real period
R	2.1088916172882	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	14440j1 115520ca1 1520a1	Quadratic twists by: -4 8 -19

Hecke Eigenvalues for elliptic curve 28880k1

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	-4	-2	-	4	6	-8	4	2	-4	8	0	-8	2	-14	-8	6	-4	-16	18	4

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Quadratic twists for elliptic curve 28880k1

-4	8	-19
14440j1	115520ca1	1520a1

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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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