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	6384y	Isogeny class
Conductor	6384	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2044945760256 = 218 · 32 · 74 · 192	Discriminant
Eigenvalues	2- 3+  2 7-  0  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6392,-182160]	[a1,a2,a3,a4,a6]
j	7052482298233/499254336	j-invariant
L	2.1452507646063	L(r)(E,1)/r!
Ω	0.53631269115157	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	798b2 25536df2 19152bz2 44688cx2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6384y2

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

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Quadratic twists for elliptic curve 6384y2

-4	8	-3	-7	-19
798b2	25536df2	19152bz2	44688cx2	121296df2

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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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