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	11858bl	Isogeny class
Conductor	11858	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-58308726784 = -1 · 212 · 76 · 112	Discriminant
Eigenvalues	2-  2  3 7- 11-  5  3  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2549,-51941]	[a1,a2,a3,a4,a6]
j	-128667913/4096	j-invariant
L	8.04774420828	L(r)(E,1)/r!
Ω	0.335322675345	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	94864db2 106722ds2 242a2 11858q2	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858bl2

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	3	-	-	5	3	2	6	3	-2	-7	3	-8	-6	-3	0	-10	-10	12	14	-2	18	9	-11

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Quadratic twists for elliptic curve 11858bl2

-4	-3	-7	-11
94864db2	106722ds2	242a2	11858q2

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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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