Cremona's table of elliptic curves

1472 = 2⁶ · 23

Field	Data	Notes
Atkin-Lehner	2- 23+	Signs for the Atkin-Lehner involutions
Class	1472j	Isogeny class
Conductor	1472	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	-23552 = -1 · 210 · 23	Discriminant
Eigenvalues	2- -1  4 -2 -4  5 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1,-7]	[a1,a2,a3,a4,a6]
j	-256/23	j-invariant
L	1.6776209421394	L(r)(E,1)/r!
Ω	1.6776209421394	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1472e1 368d1 13248bt1 36800cr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1472j1

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
-	-1	4	-2	-4	5	-2	6	+	-1	9	4	3	8	5	-6	-4	10	-4	5	-15	6	6	-8	10

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Quadratic twists for elliptic curve 1472j1

-4	8	-3	5	-7	-23
1472e1	368d1	13248bt1	36800cr1	72128be1	33856bk1

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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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