Cremona's table of elliptic curves

11200 = 2⁶ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	11200co	Isogeny class
Conductor	11200	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	3855122432000000 = 221 · 56 · 76	Discriminant
Eigenvalues	2-  2 5+ 7-  0 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-56833,4293537]	[a1,a2,a3,a4,a6]
Generators	[213:1344:1]	Generators of the group modulo torsion
j	4956477625/941192	j-invariant
L	6.386617477606	L(r)(E,1)/r!
Ω	0.41915713359968	Real period
R	1.2697341413784	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11200j4 2800v4 100800mz4 448f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11200co4

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
-	2	+	-	0	-4	-6	2	0	6	4	2	6	-8	-12	6	-6	-8	4	0	-2	-8	6	-6	10

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Quadratic twists for elliptic curve 11200co4

-4	8	-3	5	-7
11200j4	2800v4	100800mz4	448f4	78400il4

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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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