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	32	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-5835826642492 = -1 · 22 · 77 · 116	Discriminant
Eigenvalues	2-  2  0 7- 11- -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-3088,132397]	[a1,a2,a3,a4,a6]
j	-15625/28	j-invariant
L	5.4190769154492	L(r)(E,1)/r!
Ω	0.67738461443115	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	94864cz1 106722cv1 1694f1 98a1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858bk1

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 11858bk1

-4	-3	-7	-11
94864cz1	106722cv1	1694f1	98a1

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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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