Cremona's table of elliptic curves

5590 = 2 · 5 · 13 · 43

Field	Data	Notes
Atkin-Lehner	2- 5- 13+ 43-	Signs for the Atkin-Lehner involutions
Class	5590f	Isogeny class
Conductor	5590	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3124810 = 2 · 5 · 132 · 432	Discriminant
Eigenvalues	2-  0 5- -4 -6 13+ -2  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-42,-49]	[a1,a2,a3,a4,a6]
j	8012006001/3124810	j-invariant
L	1.942393671539	L(r)(E,1)/r!
Ω	1.942393671539	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	44720n2 50310l2 27950e2 72670c2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5590f2

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	-	-4	-6	+	-2	8	0	0	8	2	10	-	6	-10	-10	0	4	0	-10	8	16	10	-12

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Quadratic twists for elliptic curve 5590f2

-4	-3	5	13
44720n2	50310l2	27950e2	72670c2

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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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