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	2967b	Isogeny class
Conductor	2967	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1296	Modular degree for the optimal curve
Δ	-126177609 = -1 · 3 · 232 · 433	Discriminant
Eigenvalues	1 3-  3  1 -5  3  4  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-282,1873]	[a1,a2,a3,a4,a6]
j	-2467489596697/126177609	j-invariant
L	3.6685950920223	L(r)(E,1)/r!
Ω	1.8342975460112	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	47472d1 8901f1 74175m1 68241k1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 2967b1

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

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Quadratic twists for elliptic curve 2967b1

-4	-3	5	-23	-43
47472d1	8901f1	74175m1	68241k1	127581c1

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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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