Cremona's table of elliptic curves

11840 = 2⁶ · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 5- 37+	Signs for the Atkin-Lehner involutions
Class	11840k	Isogeny class
Conductor	11840	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-9699328000000000 = -1 · 227 · 59 · 37	Discriminant
Eigenvalues	2+  2 5- -1 -3  4  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,10655,-4722975]	[a1,a2,a3,a4,a6]
j	510273943271/37000000000	j-invariant
L	3.5041290278603	L(r)(E,1)/r!
Ω	0.19467383488113	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11840bi3 370c2 106560bf3 59200be3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11840k3

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	-	-1	-3	4	3	-2	6	-3	5	+	3	1	12	-3	0	1	4	6	-16	8	12	-6	17

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Quadratic twists for elliptic curve 11840k3

-4	8	-3	5
11840bi3	370c2	106560bf3	59200be3

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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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