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	6384o	Isogeny class
Conductor	6384	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	-704841280512768 = -1 · 28 · 33 · 710 · 192	Discriminant
Eigenvalues	2+ 3- -4 7-  0 -2  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-106300,13365404]	[a1,a2,a3,a4,a6]
Generators	[-34:4116:1]	Generators of the group modulo torsion
j	-518904725785387216/2753286252003	j-invariant
L	3.826052889805	L(r)(E,1)/r!
Ω	0.51114778329024	Real period
R	0.24950728633879	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3192m2 25536cq2 19152y2 44688s2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6384o2

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

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Quadratic twists for elliptic curve 6384o2

-4	8	-3	-7	-19
3192m2	25536cq2	19152y2	44688s2	121296w2

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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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