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	2967a	Isogeny class
Conductor	2967	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1040	Modular degree for the optimal curve
Δ	-5527521 = -1 · 35 · 232 · 43	Discriminant
Eigenvalues	1 3+  1  1 -3  3 -4  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-2657,-53838]	[a1,a2,a3,a4,a6]
Generators	[2802:22772:27]	Generators of the group modulo torsion
j	-2075648192259481/5527521	j-invariant
L	3.6751054159212	L(r)(E,1)/r!
Ω	0.33246835926891	Real period
R	5.5270002595175	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	47472h1 8901d1 74175q1 68241a1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 2967a1

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	-3	3	-4	5	-	3	-6	-8	6	-	-1	-4	0	-2	-10	8	-8	-4	-7	6	-13

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Quadratic twists for elliptic curve 2967a1

-4	-3	5	-23	-43
47472h1	8901d1	74175q1	68241a1	127581i1

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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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