Cremona's table of elliptic curves

200 = 2³ · 5²

Field	Data	Notes
Atkin-Lehner	2+ 5-	Signs for the Atkin-Lehner involutions
Class	200a	Isogeny class
Conductor	200	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	120	Modular degree for the optimal curve
Δ	-800000000 = -1 · 211 · 58	Discriminant
Eigenvalues	2+ -3 5-  2  1  4  5  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,125,-1250]	[a1,a2,a3,a4,a6]
j	270	j-invariant
L	0.80861027030331	L(r)(E,1)/r!
Ω	0.80861027030331	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	400g1 1600n1 1800u1 200e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 200a1

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
+	-3	-	2	1	4	5	1	-2	-8	10	-6	-3	4	4	6	8	10	-1	-12	3	6	-13	-9	-14

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Quadratic twists for elliptic curve 200a1

-4	8	-3	5	-7	-11	13	17	-19	-23
400g1	1600n1	1800u1	200e1	9800v1	24200bf1	33800bd1	57800q1	72200bh1	105800q1

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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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