Cremona's table of elliptic curves

2752 = 2⁶ · 43

Field	Data	Notes
Atkin-Lehner	2+ 43+	Signs for the Atkin-Lehner involutions
Class	2752b	Isogeny class
Conductor	2752	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-1302642688 = -1 · 214 · 433	Discriminant
Eigenvalues	2+  2  0 -4  3  1 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,267,365]	[a1,a2,a3,a4,a6]
Generators	[68:573:1]	Generators of the group modulo torsion
j	128000000/79507	j-invariant
L	4.0985812373375	L(r)(E,1)/r!
Ω	0.94507822408127	Real period
R	4.3367640190015	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	2752f2 172a2 24768k2 68800bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2752b2

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
+	2	0	-4	3	1	-3	-2	-3	-6	5	-8	-3	+	-12	9	12	10	-11	6	-10	8	15	0	-1

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Quadratic twists for elliptic curve 2752b2

-4	8	-3	5	-43
2752f2	172a2	24768k2	68800bo2	118336p2

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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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