Cremona's table of elliptic curves

5530 = 2 · 5 · 7 · 79

Field	Data	Notes
Atkin-Lehner	2+ 5- 7- 79-	Signs for the Atkin-Lehner involutions
Class	5530i	Isogeny class
Conductor	5530	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	285600	Modular degree for the optimal curve
Δ	-3.4110123278336E+19	Discriminant
Eigenvalues	2+  3 5- 7-  3 -3  7  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-368089,-293756755]	[a1,a2,a3,a4,a6]
j	-5515474655200103032041/34110123278336000000	j-invariant
L	3.6354539424165	L(r)(E,1)/r!
Ω	0.086558427200394	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	44240r1 49770br1 27650y1 38710m1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5530i1

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
+	3	-	-	3	-3	7	4	-6	-2	1	-5	2	4	8	3	-9	0	1	-9	4	-	-6	0	2

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Quadratic twists for elliptic curve 5530i1

-4	-3	5	-7
44240r1	49770br1	27650y1	38710m1

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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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