Cremona's table of elliptic curves

14070 = 2 · 3 · 5 · 7 · 67

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 67+	Signs for the Atkin-Lehner involutions
Class	14070c	Isogeny class
Conductor	14070	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	329941500000 = 25 · 3 · 56 · 72 · 672	Discriminant
Eigenvalues	2+ 3- 5+ 7- -2 -6 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-24914,-1515388]	[a1,a2,a3,a4,a6]
Generators	[290:3813:1]	Generators of the group modulo torsion
j	1710129639358545049/329941500000	j-invariant
L	3.7776051799886	L(r)(E,1)/r!
Ω	0.38001068302434	Real period
R	4.9703933977912	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	112560bh2 42210w2 70350cb2 98490k2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14070c2

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

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Quadratic twists for elliptic curve 14070c2

-4	-3	5	-7
112560bh2	42210w2	70350cb2	98490k2

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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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