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	14910o	Isogeny class
Conductor	14910	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	8640	Modular degree for the optimal curve
Δ	-4474863750 = -1 · 2 · 3 · 54 · 75 · 71	Discriminant
Eigenvalues	2+ 3- 5+ 7+  0 -4  0  1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,206,3026]	[a1,a2,a3,a4,a6]
Generators	[18:103:1]	Generators of the group modulo torsion
j	973536925031/4474863750	j-invariant
L	3.7063455282771	L(r)(E,1)/r!
Ω	0.98812474850951	Real period
R	1.8754441348968	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	119280be1 44730bx1 74550ch1 104370x1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910o1

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	-4	0	1	-1	9	1	2	4	-2	-6	0	-15	-8	7	-	-8	13	-12	-1	-7

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Quadratic twists for elliptic curve 14910o1

-4	-3	5	-7
119280be1	44730bx1	74550ch1	104370x1

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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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