Cremona's table of elliptic curves

5290 = 2 · 5 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 23-	Signs for the Atkin-Lehner involutions
Class	5290a	Isogeny class
Conductor	5290	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-9788873160125000 = -1 · 23 · 56 · 238	Discriminant
Eigenvalues	2+  1 5+ -4  0 -4  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,48921,2309202]	[a1,a2,a3,a4,a6]
j	165348311/125000	j-invariant
L	0.52248363247291	L(r)(E,1)/r!
Ω	0.26124181623646	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	42320n2 47610cm2 26450p2 5290c2	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 5290a2

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	+	-4	0	-4	3	-1	-	-6	-4	2	-6	11	0	-6	3	8	-13	-12	-7	-10	-9	6	14

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Quadratic twists for elliptic curve 5290a2

-4	-3	5	-23
42320n2	47610cm2	26450p2	5290c2

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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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