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	16	Product of Tamagawa factors cp
Δ	124010496 = 214 · 32 · 292	Discriminant
Eigenvalues	2- 3+  2  0  4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-312,2160]	[a1,a2,a3,a4,a6]
j	822656953/30276	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	4	Number of elements in the torsion subgroup
Twists	174d2 5568bg2 4176bf2 34800cs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1392h2

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 1392h2

-4	8	-3	5	-7	29
174d2	5568bg2	4176bf2	34800cs2	68208cm2	40368bg2

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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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