Cremona's table of elliptic curves

6392 = 2³ · 17 · 47

Field	Data	Notes
Atkin-Lehner	2+ 17- 47+	Signs for the Atkin-Lehner involutions
Class	6392a	Isogeny class
Conductor	6392	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	38454272 = 210 · 17 · 472	Discriminant
Eigenvalues	2+  0 -4  4  6  6 17-  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-347,2470]	[a1,a2,a3,a4,a6]
j	4512447684/37553	j-invariant
L	2.0591295272233	L(r)(E,1)/r!
Ω	2.0591295272233	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	12784b2 51136d2 57528j2 108664a2	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for elliptic curve 6392a2

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

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Quadratic twists for elliptic curve 6392a2

-4	8	-3	17
12784b2	51136d2	57528j2	108664a2

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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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