Cremona's table of elliptic curves

11858 = 2 · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	11858z	Isogeny class
Conductor	11858	Conductor
∏ cp	27	Product of Tamagawa factors cp
Δ	38993068556288 = 227 · 74 · 112	Discriminant
Eigenvalues	2- -2  0 7+ 11- -2  3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-8478,3268]	[a1,a2,a3,a4,a6]
Generators	[-36:530:1]	Generators of the group modulo torsion
j	231968823625/134217728	j-invariant
L	4.70492788944	L(r)(E,1)/r!
Ω	0.54747090861213	Real period
R	0.31829378649457	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	94864bk2 106722bp2 11858bj2 11858e2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858z2

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

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Quadratic twists for elliptic curve 11858z2

-4	-3	-7	-11
94864bk2	106722bp2	11858bj2	11858e2

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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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