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	14	Product of Tamagawa factors cp
deg	508032	Modular degree for the optimal curve
Δ	-3.4019470214844E+22	Discriminant
Eigenvalues	2- -1 5+ 7+ -3 13+ -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-14461188,22945659781]	[a1,a2,a3,a4,a6]
j	-21405018343206000779641/2177246093750000000	j-invariant
L	1.5890045275428	L(r)(E,1)/r!
Ω	0.11350032339592	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	36400bs1 40950u1 910e1 31850bx1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4550p1

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 4550p1

-4	-3	5	-7	13
36400bs1	40950u1	910e1	31850bx1	59150m1

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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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