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	14070j	Isogeny class
Conductor	14070	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	-2363760 = -1 · 24 · 32 · 5 · 72 · 67	Discriminant
Eigenvalues	2- 3- 5+ 7+ -2 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-21,81]	[a1,a2,a3,a4,a6]
Generators	[0:9:1]	Generators of the group modulo torsion
j	-1027243729/2363760	j-invariant
L	7.7147532641275	L(r)(E,1)/r!
Ω	2.2917763145706	Real period
R	0.84156918097534	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	112560bl1 42210k1 70350h1 98490bl1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14070j1

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	0	-2	2	2	-10	6	4	-12	14	-4	-8	+	0	8	-8	-16	-10	6

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Quadratic twists for elliptic curve 14070j1

-4	-3	5	-7
112560bl1	42210k1	70350h1	98490bl1

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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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