Cremona's table of elliptic curves

1344 = 2⁶ · 3 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	1344t	Isogeny class
Conductor	1344	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-472055808 = -1 · 216 · 3 · 74	Discriminant
Eigenvalues	2- 3- -2 7-  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,191,-193]	[a1,a2,a3,a4,a6]
j	11696828/7203	j-invariant
L	1.922005174339	L(r)(E,1)/r!
Ω	0.9610025871695	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	1344b4 336b4 4032bh4 33600ed3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1344t4

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

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Quadratic twists for elliptic curve 1344t4

-4	8	-3	5	-7
1344b4	336b4	4032bh4	33600ed3	9408ca4

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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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