Cremona's table of elliptic curves

387 = 3² · 43

Field	Data	Notes
Atkin-Lehner	3- 43+	Signs for the Atkin-Lehner involutions
Class	387a	Isogeny class
Conductor	387	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	-2539107 = -1 · 310 · 43	Discriminant
Eigenvalues	0 3-  2 -2  5  3  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-174,-887]	[a1,a2,a3,a4,a6]
j	-799178752/3483	j-invariant
L	1.3141622553222	L(r)(E,1)/r!
Ω	0.65708112766111	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	6192v1 24768be1 129a1 9675j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 387a1

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
0	-	2	-2	5	3	3	2	1	0	-5	8	7	+	8	-3	-12	-8	-15	14	12	-16	-15	-10	11

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Quadratic twists for elliptic curve 387a1

-4	8	-3	5	-7	-11	13	17	-43
6192v1	24768be1	129a1	9675j1	18963g1	46827p1	65403e1	111843e1	16641h1

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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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