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	9200r	Isogeny class
Conductor	9200	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-460000000 = -1 · 28 · 57 · 23	Discriminant
Eigenvalues	2-  0 5+ -1 -6 -6 -7 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-200,1500]	[a1,a2,a3,a4,a6]
Generators	[-10:50:1] [5:25:1]	Generators of the group modulo torsion
j	-221184/115	j-invariant
L	5.4110767342213	L(r)(E,1)/r!
Ω	1.5504236487043	Real period
R	0.43625791721062	Regulator
r	2	Rank of the group of rational points
S	0.99999999999978	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2300c1 36800by1 82800eb1 1840g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9200r1

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	+	-1	-6	-6	-7	-2	+	-5	-1	5	-7	8	8	-3	-13	-8	-9	-7	2	12	-5	-12	-2

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Quadratic twists for elliptic curve 9200r1

-4	8	-3	5
2300c1	36800by1	82800eb1	1840g1

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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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