Cremona's table of elliptic curves

5152 = 2⁵ · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 7+ 23-	Signs for the Atkin-Lehner involutions
Class	5152d	Isogeny class
Conductor	5152	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	13271552 = 29 · 72 · 232	Discriminant
Eigenvalues	2-  2 -2 7+  2  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-64,-72]	[a1,a2,a3,a4,a6]
Generators	[-54:21:8]	Generators of the group modulo torsion
j	57512456/25921	j-invariant
L	4.674256812928	L(r)(E,1)/r!
Ω	1.7585232275298	Real period
R	2.6580580453828	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5152f2 10304bb2 46368k2 128800i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5152d2

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	-2	+	2	4	-6	-4	-	6	4	-8	6	-6	8	-4	-14	2	-6	-8	10	-8	-4	-10	-18

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Quadratic twists for elliptic curve 5152d2

-4	8	-3	5	-7	-23
5152f2	10304bb2	46368k2	128800i2	36064f2	118496k2

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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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