Cremona's table of elliptic curves

1488 = 2⁴ · 3 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 31+	Signs for the Atkin-Lehner involutions
Class	1488i	Isogeny class
Conductor	1488	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	71424 = 28 · 32 · 31	Discriminant
Eigenvalues	2- 3+ -2 -4  0  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-164,-756]	[a1,a2,a3,a4,a6]
j	1917170512/279	j-invariant
L	0.66671762386008	L(r)(E,1)/r!
Ω	1.3334352477202	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	372b2 5952bb2 4464t2 37200cw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1488i2

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
-	+	-2	-4	0	2	0	-4	-4	0	+	-2	2	12	10	8	14	-2	4	-6	6	0	16	4	-2

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Quadratic twists for elliptic curve 1488i2

-4	8	-3	5	-7	-31
372b2	5952bb2	4464t2	37200cw2	72912cy2	46128bb2

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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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