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	2046g	Isogeny class
Conductor	2046	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-10812469457036808 = -1 · 23 · 38 · 118 · 312	Discriminant
Eigenvalues	2- 3+ -2  0 11+ -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,16296,4945185]	[a1,a2,a3,a4,a6]
j	478591624936623743/10812469457036808	j-invariant
L	1.8198641983391	L(r)(E,1)/r!
Ω	0.30331069972318	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16368ba6 65472y5 6138g6 51150r5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2046g6

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

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Quadratic twists for elliptic curve 2046g6

-4	8	-3	5	-7	-11	-31
16368ba6	65472y5	6138g6	51150r5	100254cp5	22506f5	63426bi5

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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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