Cremona's table of elliptic curves

1392 = 2⁴ · 3 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 29+	Signs for the Atkin-Lehner involutions
Class	1392h	Isogeny class
Conductor	1392	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	19243008 = 213 · 34 · 29	Discriminant
Eigenvalues	2- 3+  2  0  4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4952,135792]	[a1,a2,a3,a4,a6]
j	3279392280793/4698	j-invariant
L	1.8444877750981	L(r)(E,1)/r!
Ω	1.8444877750981	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	174d3 5568bg4 4176bf3 34800cs4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1392h4

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	4	6	-2	-4	0	+	4	-6	6	12	8	-6	-8	10	4	8	2	-4	0	14	18

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Quadratic twists for elliptic curve 1392h4

-4	8	-3	5	-7	29
174d3	5568bg4	4176bf3	34800cs4	68208cm4	40368bg4

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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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