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	1456j	Isogeny class
Conductor	1456	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	-372736 = -1 · 212 · 7 · 13	Discriminant
Eigenvalues	2-  0 -3 7-  6 13+  4 -5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,16,-16]	[a1,a2,a3,a4,a6]
Generators	[1:1:1]	Generators of the group modulo torsion
j	110592/91	j-invariant
L	2.4570660518981	L(r)(E,1)/r!
Ω	1.6692674124761	Real period
R	1.4719427417884	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	91a1 5824be1 13104ce1 36400bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1456j1

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
-	0	-3	-	6	+	4	-5	-3	-5	3	-4	-6	1	-7	-9	-8	-10	6	8	-13	-3	-15	3	7

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Quadratic twists for elliptic curve 1456j1

-4	8	-3	5	-7	13
91a1	5824be1	13104ce1	36400bl1	10192bh1	18928l1

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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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