Cremona's table of elliptic curves

2967 = 3 · 23 · 43

Field	Data	Notes
Atkin-Lehner	3- 23- 43+	Signs for the Atkin-Lehner involutions
Class	2967d	Isogeny class
Conductor	2967	Conductor
∏ cp	26	Product of Tamagawa factors cp
deg	1456	Modular degree for the optimal curve
Δ	-36266065281 = -1 · 313 · 232 · 43	Discriminant
Eigenvalues	-1 3-  1  1  1 -5  0 -3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-520,10193]	[a1,a2,a3,a4,a6]
Generators	[-1:104:1]	Generators of the group modulo torsion
j	-15551989015681/36266065281	j-invariant
L	2.7630607984974	L(r)(E,1)/r!
Ω	1.0260566511506	Real period
R	0.10357280862982	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	47472a1 8901c1 74175e1 68241m1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 2967d1

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	1	1	-5	0	-3	-	-1	-8	4	-6	+	3	-2	-4	2	2	-14	-2	-6	-3	10	3

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Quadratic twists for elliptic curve 2967d1

-4	-3	5	-23	-43
47472a1	8901c1	74175e1	68241m1	127581e1

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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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