Cremona's table of elliptic curves

2300 = 2² · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 23+	Signs for the Atkin-Lehner involutions
Class	2300h	Isogeny class
Conductor	2300	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	1946720000 = 28 · 54 · 233	Discriminant
Eigenvalues	2- -2 5- -1 -3  5  6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1108,-14412]	[a1,a2,a3,a4,a6]
Generators	[-21:6:1]	Generators of the group modulo torsion
j	941054800/12167	j-invariant
L	2.1865683693391	L(r)(E,1)/r!
Ω	0.82807876918415	Real period
R	2.6405318560376	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9200bi2 36800bi2 20700t2 2300f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2300h2

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	-	-1	-3	5	6	-7	+	3	2	8	-9	-7	6	-12	0	8	-4	12	-7	-1	-3	12	-10

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Quadratic twists for elliptic curve 2300h2

-4	8	-3	5	-7	-23
9200bi2	36800bi2	20700t2	2300f2	112700z2	52900y2

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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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