Cremona's table of elliptic curves

5390 = 2 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	5390x	Isogeny class
Conductor	5390	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3574443818526350 = 2 · 52 · 79 · 116	Discriminant
Eigenvalues	2-  2 5+ 7- 11+ -2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-172481,27349153]	[a1,a2,a3,a4,a6]
Generators	[-218:45381:8]	Generators of the group modulo torsion
j	4823468134087681/30382271150	j-invariant
L	7.0643120659399	L(r)(E,1)/r!
Ω	0.44648743001066	Real period
R	3.955493251944	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	43120bv4 48510bw4 26950o4 770g4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390x4

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
-	2	+	-	+	-2	-6	-2	-6	0	-8	8	0	-4	0	12	-12	10	-4	-12	-14	-10	0	18	-8

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Quadratic twists for elliptic curve 5390x4

-4	-3	5	-7	-11
43120bv4	48510bw4	26950o4	770g4	59290v4

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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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