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	5390g	Isogeny class
Conductor	5390	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	129696875000000000 = 29 · 514 · 73 · 112	Discriminant
Eigenvalues	2+  0 5+ 7- 11- -2 -8  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-144440,-12055744]	[a1,a2,a3,a4,a6]
Generators	[-89:342:1]	Generators of the group modulo torsion
j	971613907622044623/378125000000000	j-invariant
L	2.4703045821608	L(r)(E,1)/r!
Ω	0.25314455460397	Real period
R	4.8792370549417	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	43120bd2 48510dx2 26950co2 5390r2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390g2

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

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Quadratic twists for elliptic curve 5390g2

-4	-3	5	-7	-11
43120bd2	48510dx2	26950co2	5390r2	59290cr2

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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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