Cremona's table of elliptic curves

11856 = 2⁴ · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 13- 19+	Signs for the Atkin-Lehner involutions
Class	11856w	Isogeny class
Conductor	11856	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-3.484605834955E+19	Discriminant
Eigenvalues	2- 3+ -3  1  6 13-  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-189854592,1006948098816]	[a1,a2,a3,a4,a6]
Generators	[7994:5954:1]	Generators of the group modulo torsion
j	-184768138755655701309378433/8507338464245556	j-invariant
L	3.526286475329	L(r)(E,1)/r!
Ω	0.15406983355387	Real period
R	3.8145975691559	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	1482l3 47424dh3 35568cb3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 11856w3

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
-	+	-3	1	6	-	0	+	3	-6	4	-7	-12	-8	6	9	3	-1	4	-9	2	1	-12	0	17

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Quadratic twists for elliptic curve 11856w3

-4	8	-3
1482l3	47424dh3	35568cb3

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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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