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	11858i	Isogeny class
Conductor	11858	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2.5019225375891E+21	Discriminant
Eigenvalues	2+  0 -2 7- 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3579263,1001772085]	[a1,a2,a3,a4,a6]
Generators	[261:9106:1]	Generators of the group modulo torsion
j	24331017010833/12004097336	j-invariant
L	2.6109789724831	L(r)(E,1)/r!
Ω	0.12836428434534	Real period
R	5.0850962668455	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	94864bz3 106722gt3 1694d3 1078i3	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858i4

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

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Quadratic twists for elliptic curve 11858i4

-4	-3	-7	-11
94864bz3	106722gt3	1694d3	1078i3

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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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