Cremona's table of elliptic curves

1472 = 2⁶ · 23

Field	Data	Notes
Atkin-Lehner	2+ 23+	Signs for the Atkin-Lehner involutions
Class	1472b	Isogeny class
Conductor	1472	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-12459008 = -1 · 210 · 233	Discriminant
Eigenvalues	2+ -1  0  2  0  1 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-73,-271]	[a1,a2,a3,a4,a6]
Generators	[16:49:1]	Generators of the group modulo torsion
j	-42592000/12167	j-invariant
L	2.4407645388291	L(r)(E,1)/r!
Ω	0.80383720560999	Real period
R	3.0363915999346	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	1472m2 92a2 13248n2 36800u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1472b2

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	0	2	0	1	-6	-2	+	3	5	-8	3	-8	9	-6	12	-14	-8	-15	-7	-10	-6	0	-10

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Quadratic twists for elliptic curve 1472b2

-4	8	-3	5	-7	-23
1472m2	92a2	13248n2	36800u2	72128c2	33856k2

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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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