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	14910x	Isogeny class
Conductor	14910	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	279552	Modular degree for the optimal curve
Δ	-11819506728960000 = -1 · 226 · 34 · 54 · 72 · 71	Discriminant
Eigenvalues	2+ 3- 5- 7+ -6  0 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-614328,-185455994]	[a1,a2,a3,a4,a6]
j	-25640330942383576506361/11819506728960000	j-invariant
L	1.3641984144456	L(r)(E,1)/r!
Ω	0.08526240090285	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	119280bu1 44730bj1 74550co1 104370j1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910x1

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

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Quadratic twists for elliptic curve 14910x1

-4	-3	5	-7
119280bu1	44730bj1	74550co1	104370j1

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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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