Cremona's table of elliptic curves

1472 = 2⁶ · 23

Field	Data	Notes
Atkin-Lehner	2+ 23-	Signs for the Atkin-Lehner involutions
Class	1472c	Isogeny class
Conductor	1472	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	69337088 = 217 · 232	Discriminant
Eigenvalues	2+  0  0  4 -6  2  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-140,496]	[a1,a2,a3,a4,a6]
j	2315250/529	j-invariant
L	1.837027773693	L(r)(E,1)/r!
Ω	1.837027773693	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1472h2 184c2 13248f2 36800e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1472c2

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	0	4	-6	2	6	6	-	6	0	8	6	2	-8	8	-4	4	-2	-8	6	12	-10	10	-18

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Quadratic twists for elliptic curve 1472c2

-4	8	-3	5	-7	-23
1472h2	184c2	13248f2	36800e2	72128k2	33856a2

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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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