Cremona's table of elliptic curves

201 = 3 · 67

Field	Data	Notes
Atkin-Lehner	3- 67-	Signs for the Atkin-Lehner involutions
Class	201b	Isogeny class
Conductor	201	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	12	Modular degree for the optimal curve
Δ	-1809 = -1 · 33 · 67	Discriminant
Eigenvalues	-1 3- -1 -5 -4 -4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1,2]	[a1,a2,a3,a4,a6]
Generators	[-1:2:1]	Generators of the group modulo torsion
j	-117649/1809	j-invariant
L	1.0237848640426	L(r)(E,1)/r!
Ω	3.9730794903896	Real period
R	0.085893479396271	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	3216c1 12864a1 603e1 5025b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 201b1

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
-1	-	-1	-5	-4	-4	6	-2	-3	4	-7	5	-3	7	8	-5	3	-2	-	-12	-13	-8	1	4	-12

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Quadratic twists for elliptic curve 201b1

-4	8	-3	5	-7	-11	13	17	-19	-23	-67
3216c1	12864a1	603e1	5025b1	9849i1	24321q1	33969e1	58089b1	72561e1	106329e1	13467d1

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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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