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	5390b	Isogeny class
Conductor	5390	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	2.7451120263627E+22	Discriminant
Eigenvalues	2+  1 5+ 7+ 11-  5  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9167044,-7112838974]	[a1,a2,a3,a4,a6]
j	35482926498594608353369/11433202941952000000	j-invariant
L	1.6016773630174	L(r)(E,1)/r!
Ω	0.088982075723189	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	43120y2 48510dp2 26950bz2 5390t2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390b2

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	+	+	-	5	0	2	6	-3	8	-4	0	2	0	-6	3	-13	-13	12	2	11	-6	-6	5

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Quadratic twists for elliptic curve 5390b2

-4	-3	5	-7	-11
43120y2	48510dp2	26950bz2	5390t2	59290cm2

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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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