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	2300a	Isogeny class
Conductor	2300	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-1403808593750000 = -1 · 24 · 518 · 23	Discriminant
Eigenvalues	2- -1 5+  4 -6  1  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,10342,-1760063]	[a1,a2,a3,a4,a6]
j	489277573376/5615234375	j-invariant
L	1.4167570877873	L(r)(E,1)/r!
Ω	0.23612618129788	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9200bb2 36800g2 20700r2 460c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2300a2

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

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Quadratic twists for elliptic curve 2300a2

-4	8	-3	5	-7	-23
9200bb2	36800g2	20700r2	460c2	112700h2	52900l2

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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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