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	1488h	Isogeny class
Conductor	1488	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-703590014976 = -1 · 213 · 3 · 315	Discriminant
Eigenvalues	2- 3+  1  2  3 -1  3  5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-22320,1291584]	[a1,a2,a3,a4,a6]
j	-300238092661681/171774906	j-invariant
L	1.7870928959181	L(r)(E,1)/r!
Ω	0.89354644795903	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	186b2 5952ba2 4464s2 37200cu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1488h2

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	3	-1	3	5	-4	0	+	-2	2	6	7	14	-10	7	7	3	-6	-15	1	10	13

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Quadratic twists for elliptic curve 1488h2

-4	8	-3	5	-7	-31
186b2	5952ba2	4464s2	37200cu2	72912cx2	46128x2

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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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