Cremona's table of elliptic curves

987 = 3 · 7 · 47

Field	Data	Notes
Atkin-Lehner	3- 7+ 47+	Signs for the Atkin-Lehner involutions
Class	987d	Isogeny class
Conductor	987	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-3816212563107 = -1 · 37 · 75 · 473	Discriminant
Eigenvalues	2 3-  4 7+  1 -2 -3  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-2066,100013]	[a1,a2,a3,a4,a6]
j	-975719213461504/3816212563107	j-invariant
L	4.7998654989763	L(r)(E,1)/r!
Ω	0.68569507128233	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	15792z1 63168g1 2961h1 24675l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 987d1

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	+	1	-2	-3	1	3	-2	-3	3	-10	-10	+	-6	3	10	10	6	15	-13	3	1	6

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Quadratic twists for elliptic curve 987d1

-4	8	-3	5	-7	-11	-47
15792z1	63168g1	2961h1	24675l1	6909f1	119427g1	46389l1

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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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