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	14910h	Isogeny class
Conductor	14910	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	9077580750 = 2 · 3 · 53 · 74 · 712	Discriminant
Eigenvalues	2+ 3+ 5- 7-  2 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-3927,92991]	[a1,a2,a3,a4,a6]
Generators	[17:169:1]	Generators of the group modulo torsion
j	6700067906144761/9077580750	j-invariant
L	3.2296639181558	L(r)(E,1)/r!
Ω	1.2969010301882	Real period
R	0.41504887972409	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	119280ch2 44730bq2 74550cv2 104370be2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14910h2

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

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Quadratic twists for elliptic curve 14910h2

-4	-3	5	-7
119280ch2	44730bq2	74550cv2	104370be2

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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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