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	11858y	Isogeny class
Conductor	11858	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	443520	Modular degree for the optimal curve
Δ	4784770920872620832 = 25 · 78 · 1110	Discriminant
Eigenvalues	2-  2 -4 7+ 11- -2  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-732355,-217367039]	[a1,a2,a3,a4,a6]
Generators	[-617:602:1]	Generators of the group modulo torsion
j	290521/32	j-invariant
L	7.4810271318678	L(r)(E,1)/r!
Ω	0.16436654542657	Real period
R	3.034286209704	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	94864bm1 106722bz1 11858bn1 11858d1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858y1

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	-4	+	-	-2	3	2	-8	10	5	0	3	-8	1	4	-14	-10	-10	5	-7	5	-10	-5	-18

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Quadratic twists for elliptic curve 11858y1

-4	-3	-7	-11
94864bm1	106722bz1	11858bn1	11858d1

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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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