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	32	Product of Tamagawa factors cp
Δ	519840000 = 28 · 32 · 54 · 192	Discriminant
Eigenvalues	2+ 3+ 5-  0  0 -2 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1900,32500]	[a1,a2,a3,a4,a6]
Generators	[10:120:1]	Generators of the group modulo torsion
j	2964647793616/2030625	j-invariant
L	2.8311780190418	L(r)(E,1)/r!
Ω	1.6334919832784	Real period
R	0.86660297326947	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	4560g2 18240y2 6840r2 11400bj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2280b2

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 2280b2

-4	8	-3	5	-7	-19
4560g2	18240y2	6840r2	11400bj2	111720t2	43320be2

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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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