Cremona's table of elliptic curves

4550 = 2 · 5² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 13+	Signs for the Atkin-Lehner involutions
Class	4550y	Isogeny class
Conductor	4550	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-263966117187500 = -1 · 22 · 59 · 7 · 136	Discriminant
Eigenvalues	2-  0 5- 7-  0 13+ -2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,12945,534947]	[a1,a2,a3,a4,a6]
j	122837590611/135150652	j-invariant
L	2.9321349288815	L(r)(E,1)/r!
Ω	0.36651686611019	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36400ch2 40950cg2 4550l2 31850cl2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4550y2

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

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Quadratic twists for elliptic curve 4550y2

-4	-3	5	-7	13
36400ch2	40950cg2	4550l2	31850cl2	59150u2

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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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