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	1392l	Isogeny class
Conductor	1392	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-1392 = -1 · 24 · 3 · 29	Discriminant
Eigenvalues	2- 3+  2 -1 -1 -3 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2,3]	[a1,a2,a3,a4,a6]
Generators	[1:1:1]	Generators of the group modulo torsion
j	-87808/87	j-invariant
L	2.5232008266796	L(r)(E,1)/r!
Ω	4.3759857667629	Real period
R	0.57660169871762	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	348b1 5568bd1 4176z1 34800df1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1392l1

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	-1	-1	-3	-3	-2	-8	-	8	0	2	0	-5	-2	6	-12	-3	-4	-16	2	6	3	-6

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Quadratic twists for elliptic curve 1392l1

-4	8	-3	5	-7	29
348b1	5568bd1	4176z1	34800df1	68208cv1	40368bh1

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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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