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	9200d	Isogeny class
Conductor	9200	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	34560	Modular degree for the optimal curve
Δ	-3218171500000000 = -1 · 28 · 59 · 235	Discriminant
Eigenvalues	2+  0 5+  1  6  2  3  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,36700,355500]	[a1,a2,a3,a4,a6]
j	1366664500224/804542875	j-invariant
L	2.7220711723908	L(r)(E,1)/r!
Ω	0.27220711723908	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	4600h1 36800cn1 82800o1 1840b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9200d1

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	2	3	6	-	3	3	-1	9	-8	4	-1	-1	8	-7	5	6	0	-11	4	-6

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Quadratic twists for elliptic curve 9200d1

-4	8	-3	5
4600h1	36800cn1	82800o1	1840b1

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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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