Cremona's table of elliptic curves

387 = 3² · 43

Field	Data	Notes
Atkin-Lehner	3- 43+	Signs for the Atkin-Lehner involutions
Class	387d	Isogeny class
Conductor	387	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	60	Modular degree for the optimal curve
Δ	846369 = 39 · 43	Discriminant
Eigenvalues	-1 3- -2  0  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-221,1316]	[a1,a2,a3,a4,a6]
j	1630532233/1161	j-invariant
L	0.69764034569899	L(r)(E,1)/r!
Ω	2.790561382796	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6192x1 24768bc1 129b2 9675m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 387d1

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

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Quadratic twists for elliptic curve 387d1

-4	8	-3	5	-7	-11	13	17	-43
6192x1	24768bc1	129b2	9675m1	18963h1	46827q1	65403f1	111843h1	16641j1

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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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