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	11858bb	Isogeny class
Conductor	11858	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	9504	Modular degree for the optimal curve
Δ	133568512 = 211 · 72 · 113	Discriminant
Eigenvalues	2- -1 -4 7- 11+ -3 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1240,16281]	[a1,a2,a3,a4,a6]
Generators	[17:13:1]	Generators of the group modulo torsion
j	3233229419/2048	j-invariant
L	3.7333576387633	L(r)(E,1)/r!
Ω	1.8274830098539	Real period
R	0.092858906799253	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	94864bs1 106722ci1 11858v1 11858g1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858bb1

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
-	-1	-4	-	+	-3	-6	4	0	5	2	6	4	8	-4	-6	15	-7	-9	10	-14	-15	2	2	1

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Quadratic twists for elliptic curve 11858bb1

-4	-3	-7	-11
94864bs1	106722ci1	11858v1	11858g1

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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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