Cremona's table of elliptic curves

14910 = 2 · 3 · 5 · 7 · 71

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 71-	Signs for the Atkin-Lehner involutions
Class	14910bb	Isogeny class
Conductor	14910	Conductor
∏ cp	512	Product of Tamagawa factors cp
Δ	1487225908430438400 = 216 · 36 · 52 · 72 · 714	Discriminant
Eigenvalues	2- 3+ 5- 7+ -4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-448770,-99921393]	[a1,a2,a3,a4,a6]
j	9995285953801614523681/1487225908430438400	j-invariant
L	1.4903502155879	L(r)(E,1)/r!
Ω	0.18629377694849	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	119280co2 44730g2 74550bg2 104370dm2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910bb2

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

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Quadratic twists for elliptic curve 14910bb2

-4	-3	5	-7
119280co2	44730g2	74550bg2	104370dm2

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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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