Cremona's table of elliptic curves

200 = 2³ · 5²

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	200c	Isogeny class
Conductor	200	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-10000000000 = -1 · 210 · 510	Discriminant
Eigenvalues	2-  0 5+  4  4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,325,-4250]	[a1,a2,a3,a4,a6]
j	237276/625	j-invariant
L	1.3276988788884	L(r)(E,1)/r!
Ω	0.66384943944421	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	400a4 1600a4 1800g4 40a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 200c4

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	+	4	4	2	-2	4	-4	-2	-8	-6	-6	8	-4	-6	-4	-2	-8	0	6	0	16	-6	14

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Quadratic twists for elliptic curve 200c4

-4	8	-3	5	-7	-11	13	17	-19	-23
400a4	1600a4	1800g4	40a4	9800ba4	24200h3	33800b3	57800s3	72200c3	105800v3

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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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