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	6384c	Isogeny class
Conductor	6384	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	893555712 = 210 · 38 · 7 · 19	Discriminant
Eigenvalues	2+ 3+ -2 7+  4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2864,-58032]	[a1,a2,a3,a4,a6]
j	2538016415428/872613	j-invariant
L	1.3052167006767	L(r)(E,1)/r!
Ω	0.65260835033835	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	3192i4 25536ct4 19152r4 44688bb4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6384c3

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

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Quadratic twists for elliptic curve 6384c3

-4	8	-3	-7	-19
3192i4	25536ct4	19152r4	44688bb4	121296bb4

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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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