Cremona's table of elliptic curves

14210 = 2 · 5 · 7² · 29

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 29-	Signs for the Atkin-Lehner involutions
Class	14210s	Isogeny class
Conductor	14210	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-113680 = -1 · 24 · 5 · 72 · 29	Discriminant
Eigenvalues	2-  0 5- 7- -3  0  3 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,8,11]	[a1,a2,a3,a4,a6]
Generators	[-1:1:1]	Generators of the group modulo torsion
j	1296351/2320	j-invariant
L	7.1887360506871	L(r)(E,1)/r!
Ω	2.2851264796195	Real period
R	0.78647025829879	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	113680bt1 127890bm1 71050s1 14210l1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 14210s1

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	-	-	-3	0	3	-8	9	-	5	-7	-6	4	4	-12	-4	12	-8	-2	1	0	9	-14	-2

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Quadratic twists for elliptic curve 14210s1

-4	-3	5	-7
113680bt1	127890bm1	71050s1	14210l1

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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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