Cremona's table of elliptic curves

4386 = 2 · 3 · 17 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3+ 17+ 43+	Signs for the Atkin-Lehner involutions
Class	4386a	Isogeny class
Conductor	4386	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	6480	Modular degree for the optimal curve
Δ	-14733591552 = -1 · 210 · 39 · 17 · 43	Discriminant
Eigenvalues	2+ 3+  0  0  2 -1 17+ -7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-11350,460756]	[a1,a2,a3,a4,a6]
Generators	[60:-14:1]	Generators of the group modulo torsion
j	-161722736941515625/14733591552	j-invariant
L	2.339280292869	L(r)(E,1)/r!
Ω	1.1933890711553	Real period
R	0.98009959593663	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35088v1 13158q1 109650dc1 74562i1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4386a1

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	0	2	-1	+	-7	6	4	11	-1	-7	+	-8	-2	-5	7	8	-5	10	-7	-15	-5	10

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Quadratic twists for elliptic curve 4386a1

-4	-3	5	17
35088v1	13158q1	109650dc1	74562i1

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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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