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	11858k	Isogeny class
Conductor	11858	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-1328096 = -1 · 25 · 73 · 112	Discriminant
Eigenvalues	2+  1 -2 7- 11-  1  6 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-47,130]	[a1,a2,a3,a4,a6]
Generators	[4:1:1]	Generators of the group modulo torsion
j	-268279/32	j-invariant
L	3.2690448666951	L(r)(E,1)/r!
Ω	2.6348133103354	Real period
R	0.62035607112503	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	94864cm1 106722gs1 11858n1 11858bf1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 11858k1

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	-2	-	-	1	6	-7	-3	0	4	8	-2	0	6	10	-5	10	6	4	0	3	3	-18	12

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Quadratic twists for elliptic curve 11858k1

-4	-3	-7	-11
94864cm1	106722gs1	11858n1	11858bf1

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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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