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	11840bi	Isogeny class
Conductor	11840	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-13278380032000 = -1 · 221 · 53 · 373	Discriminant
Eigenvalues	2- -2 5-  1  3  4  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1185,-176417]	[a1,a2,a3,a4,a6]
Generators	[71:320:1]	Generators of the group modulo torsion
j	-702595369/50653000	j-invariant
L	3.9037656333836	L(r)(E,1)/r!
Ω	0.31202779361067	Real period
R	1.0425795696517	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	11840k2 2960j2 106560eh2 59200cy2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11840bi2

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 11840bi2

-4	8	-3	5
11840k2	2960j2	106560eh2	59200cy2

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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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