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	9200l	Isogeny class
Conductor	9200	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	3648	Modular degree for the optimal curve
Δ	-677120000 = -1 · 211 · 54 · 232	Discriminant
Eigenvalues	2+ -1 5- -4 -3 -2 -1  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-608,6112]	[a1,a2,a3,a4,a6]
Generators	[-28:20:1] [-4:92:1]	Generators of the group modulo torsion
j	-19450850/529	j-invariant
L	4.617956735636	L(r)(E,1)/r!
Ω	1.6088329456021	Real period
R	0.11959903264716	Regulator
r	2	Rank of the group of rational points
S	0.99999999999967	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4600n1 36800df1 82800cf1 9200g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9200l1

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	-3	-2	-1	1	+	0	-8	-2	1	-12	-6	-4	-12	0	-13	-12	-17	14	-5	1	-2

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Quadratic twists for elliptic curve 9200l1

-4	8	-3	5
4600n1	36800df1	82800cf1	9200g1

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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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