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	1488j	Isogeny class
Conductor	1488	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-347482224 = -1 · 24 · 36 · 313	Discriminant
Eigenvalues	2- 3+  3  1  0  2  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-250914,48460347]	[a1,a2,a3,a4,a6]
j	-109189315135671400192/21717639	j-invariant
L	1.985795334931	L(r)(E,1)/r!
Ω	0.99289766746549	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	372c2 5952bd2 4464v2 37200cq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1488j2

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
-	+	3	1	0	2	0	1	6	0	+	8	-3	-8	0	-12	9	8	4	9	-4	10	6	-6	-7

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Quadratic twists for elliptic curve 1488j2

-4	8	-3	5	-7	-31
372c2	5952bd2	4464v2	37200cq2	72912de2	46128bc2

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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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