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	4550p	Isogeny class
Conductor	4550	Conductor
∏ cp	126	Product of Tamagawa factors cp
Δ	-1.6065240590756E+28	Discriminant
Eigenvalues	2- -1 5+ 7+ -3 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1262579938,-18313477533969]	[a1,a2,a3,a4,a6]
j	-14245586655234650511684983641/1028175397808386133196800	j-invariant
L	1.5890045275428	L(r)(E,1)/r!
Ω	0.012611147043991	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	36400bs3 40950u3 910e3 31850bx3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4550p3

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	+	+	-3	+	-6	2	-9	6	5	7	9	10	-3	0	12	-1	13	-12	-11	17	6	-6	19

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Quadratic twists for elliptic curve 4550p3

-4	-3	5	-7	13
36400bs3	40950u3	910e3	31850bx3	59150m3

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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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