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	11858bk	Isogeny class
Conductor	11858	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-4575288087713728 = -1 · 26 · 79 · 116	Discriminant
Eigenvalues	2-  2  0 7- 11- -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,26557,-2784671]	[a1,a2,a3,a4,a6]
j	9938375/21952	j-invariant
L	5.4190769154492	L(r)(E,1)/r!
Ω	0.22579487147705	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	94864cz3 106722cv3 1694f3 98a3	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858bk3

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

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Quadratic twists for elliptic curve 11858bk3

-4	-3	-7	-11
94864cz3	106722cv3	1694f3	98a3

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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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