Cremona's table of elliptic curves

9200 = 2⁴ · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	9200s	Isogeny class
Conductor	9200	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-3041750000 = -1 · 24 · 56 · 233	Discriminant
Eigenvalues	2-  1 5+  2  0  1  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-458,4463]	[a1,a2,a3,a4,a6]
j	-42592000/12167	j-invariant
L	2.7000942458616	L(r)(E,1)/r!
Ω	1.3500471229308	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	2300e2 36800cd2 82800ed2 368e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9200s2

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	+	2	0	1	6	-2	+	-3	-5	-8	3	8	9	-6	12	14	8	15	7	10	6	0	10

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Quadratic twists for elliptic curve 9200s2

-4	8	-3	5
2300e2	36800cd2	82800ed2	368e2

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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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