Cremona's table of elliptic curves

5159 = 7 · 11 · 67

Field	Data	Notes
Atkin-Lehner	7+ 11- 67+	Signs for the Atkin-Lehner involutions
Class	5159d	Isogeny class
Conductor	5159	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1.0084066985276E+22	Discriminant
Eigenvalues	-1  0 -2 7+ 11- -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-7876521,7005592256]	[a1,a2,a3,a4,a6]
j	54041446637752012667730657/10084066985275712875369	j-invariant
L	0.18365043859946	L(r)(E,1)/r!
Ω	0.12243362573297	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	82544bc2 46431a2 128975i2 36113d2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5159d2

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	0	-2	+	-	-6	6	-4	0	6	4	-10	-2	-12	-12	-10	0	-14	+	0	-10	8	-4	10	2

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Quadratic twists for elliptic curve 5159d2

-4	-3	5	-7	-11
82544bc2	46431a2	128975i2	36113d2	56749c2

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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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