Cremona's table of elliptic curves

6384 = 2⁴ · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 19-	Signs for the Atkin-Lehner involutions
Class	6384p	Isogeny class
Conductor	6384	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-1059315812352 = -1 · 211 · 34 · 72 · 194	Discriminant
Eigenvalues	2+ 3-  2 7-  4 -6  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1008,-47628]	[a1,a2,a3,a4,a6]
j	55251546334/517244049	j-invariant
L	3.4559460244296	L(r)(E,1)/r!
Ω	0.4319932530537	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3192j4 25536ch3 19152ba4 44688g3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6384p4

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

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Quadratic twists for elliptic curve 6384p4

-4	8	-3	-7	-19
3192j4	25536ch3	19152ba4	44688g3	121296r3

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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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