Cremona's table of elliptic curves

3864 = 2³ · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 23-	Signs for the Atkin-Lehner involutions
Class	3864d	Isogeny class
Conductor	3864	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	15143417856 = 211 · 38 · 72 · 23	Discriminant
Eigenvalues	2+ 3-  2 7-  4  4  4  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-792,-6480]	[a1,a2,a3,a4,a6]
j	26860713266/7394247	j-invariant
L	3.6740077306669	L(r)(E,1)/r!
Ω	0.91850193266673	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	7728a2 30912q2 11592r2 96600bm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3864d2

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	4	4	6	-	2	-2	-2	-10	-8	-6	-6	-4	-10	-8	12	-2	8	-6	-8	-8

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Quadratic twists for elliptic curve 3864d2

-4	8	-3	5	-7	-23
7728a2	30912q2	11592r2	96600bm2	27048e2	88872l2

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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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