Cremona's table of elliptic curves

201 = 3 · 67

Field	Data	Notes
Atkin-Lehner	3+ 67+	Signs for the Atkin-Lehner involutions
Class	201a	Isogeny class
Conductor	201	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	-603 = -1 · 32 · 67	Discriminant
Eigenvalues	-2 3+  0  0 -6  4 -7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,2,0]	[a1,a2,a3,a4,a6]
Generators	[1:1:1]	Generators of the group modulo torsion
j	512000/603	j-invariant
L	0.73111995677637	L(r)(E,1)/r!
Ω	3.4396827280436	Real period
R	0.10627723755095	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3216i1 12864r1 603d1 5025g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 201a1

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	0	-6	4	-7	-5	-1	1	-4	3	0	-6	9	10	3	2	+	-16	-7	8	-4	-15	4

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Quadratic twists for elliptic curve 201a1

-4	8	-3	5	-7	-11	13	17	-19	-23	-67
3216i1	12864r1	603d1	5025g1	9849n1	24321h1	33969d1	58089g1	72561o1	106329c1	13467k1

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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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