Cremona's table of elliptic curves

2067 = 3 · 13 · 53

Field	Data	Notes
Atkin-Lehner	3- 13- 53+	Signs for the Atkin-Lehner involutions
Class	2067b	Isogeny class
Conductor	2067	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-5806203 = -1 · 3 · 13 · 533	Discriminant
Eigenvalues	0 3-  0 -4  3 13-  6 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-1963,-34139]	[a1,a2,a3,a4,a6]
Generators	[11310:20807:216]	Generators of the group modulo torsion
j	-836962177024000/5806203	j-invariant
L	2.8487044499869	L(r)(E,1)/r!
Ω	0.35860873856696	Real period
R	7.9437675204753	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	33072o2 6201e2 51675c2 101283b2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2067b2

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	-	0	-4	3	-	6	-7	3	6	-4	-10	-12	-1	0	+	-3	-10	5	-12	-10	-4	6	6	-16

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Quadratic twists for elliptic curve 2067b2

-4	-3	5	-7	13	53
33072o2	6201e2	51675c2	101283b2	26871c2	109551e2

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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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