Cremona's table of elliptic curves

2280 = 2³ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	2280b	Isogeny class
Conductor	2280	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	-156385200 = -1 · 24 · 3 · 52 · 194	Discriminant
Eigenvalues	2+ 3+ 5-  0  0 -2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-95,732]	[a1,a2,a3,a4,a6]
Generators	[4:20:1]	Generators of the group modulo torsion
j	-5988775936/9774075	j-invariant
L	2.8311780190418	L(r)(E,1)/r!
Ω	1.6334919832784	Real period
R	1.7332059465389	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	4560g1 18240y1 6840r1 11400bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2280b1

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

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Quadratic twists for elliptic curve 2280b1

-4	8	-3	5	-7	-19
4560g1	18240y1	6840r1	11400bj1	111720t1	43320be1

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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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