Cremona's table of elliptic curves

2046 = 2 · 3 · 11 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 31+	Signs for the Atkin-Lehner involutions
Class	2046i	Isogeny class
Conductor	2046	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	121904772 = 22 · 3 · 11 · 314	Discriminant
Eigenvalues	2- 3- -2  4 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-724,-7540]	[a1,a2,a3,a4,a6]
j	41973665875777/121904772	j-invariant
L	3.6821171296498	L(r)(E,1)/r!
Ω	0.92052928241244	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16368p4 65472b4 6138d4 51150g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2046i3

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	4	-	2	2	0	0	-2	+	-2	-6	4	4	10	0	2	12	-4	14	-8	-12	-18	18

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Quadratic twists for elliptic curve 2046i3

-4	8	-3	5	-7	-11	-31
16368p4	65472b4	6138d4	51150g3	100254bv4	22506m4	63426w4

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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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