Cremona's table of elliptic curves

1456 = 2⁴ · 7 · 13

Field	Data	Notes
Atkin-Lehner	2+ 7+ 13+	Signs for the Atkin-Lehner involutions
Class	1456c	Isogeny class
Conductor	1456	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	-112445342464 = -1 · 28 · 7 · 137	Discriminant
Eigenvalues	2+ -2  3 7+  0 13+ -2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1071,-8501]	[a1,a2,a3,a4,a6]
Generators	[30:227:1]	Generators of the group modulo torsion
j	530208386048/439239619	j-invariant
L	2.310219431462	L(r)(E,1)/r!
Ω	0.58290415371382	Real period
R	3.9632921068465	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	728b1 5824v1 13104s1 36400p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1456c1

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	3	+	0	+	-2	-5	-1	-5	3	-6	-2	-1	-3	11	8	-10	-2	-14	-7	-13	1	-11	5

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Quadratic twists for elliptic curve 1456c1

-4	8	-3	5	-7	13
728b1	5824v1	13104s1	36400p1	10192j1	18928g1

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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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