Cremona's table of elliptic curves

1472 = 2⁶ · 23

Field	Data	Notes
Atkin-Lehner	2- 23-	Signs for the Atkin-Lehner involutions
Class	1472n	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  2  4 -2 -7 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-17,-23]	[a1,a2,a3,a4,a6]
Generators	[8:17:1]	Generators of the group modulo torsion
j	-562432/23	j-invariant
L	2.6975272076536	L(r)(E,1)/r!
Ω	1.1671051797408	Real period
R	2.3112974344375	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	1472a1 368c1 13248bi1 36800cc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1472n1

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	2	4	-2	-7	-4	-6	-	-5	-3	-2	-9	8	1	6	-8	10	2	13	-3	-6	0	-4	-8

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Quadratic twists for elliptic curve 1472n1

-4	8	-3	5	-7	-23
1472a1	368c1	13248bi1	36800cc1	72128by1	33856bj1

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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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