Cremona's table of elliptic curves

14140 = 2² · 5 · 7 · 101

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 101-	Signs for the Atkin-Lehner involutions
Class	14140c	Isogeny class
Conductor	14140	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	443520	Modular degree for the optimal curve
Δ	1.2743549407965E+20	Discriminant
Eigenvalues	2-  0 5+ 7+  4  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2157608,-1092267307]	[a1,a2,a3,a4,a6]
Generators	[-283262007901:-1966241015830:278445077]	Generators of the group modulo torsion
j	69425874780571006009344/7964718379978128125	j-invariant
L	4.4681084772898	L(r)(E,1)/r!
Ω	0.12549897925695	Real period
R	11.867582519381	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	56560m1 127260j1 70700h1 98980d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14140c1

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	6	2	0	-6	-6	8	-10	-10	-2	2	-8	4	10	0	-4	-4	16	-4	-2	2

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Quadratic twists for elliptic curve 14140c1

-4	-3	5	-7
56560m1	127260j1	70700h1	98980d1

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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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