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	4386n	Isogeny class
Conductor	4386	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-309196245879126 = -1 · 2 · 316 · 174 · 43	Discriminant
Eigenvalues	2- 3+ -2 -4  0  6 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-39044,-3103909]	[a1,a2,a3,a4,a6]
j	-6582446221752760897/309196245879126	j-invariant
L	1.3548204963495	L(r)(E,1)/r!
Ω	0.16935256204368	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35088y3 13158e4 109650u3 74562bh3	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 4386n4

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	0	6	-	-4	-8	-2	0	-2	10	-	-8	14	4	-10	4	12	-2	0	-12	18	10

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Quadratic twists for elliptic curve 4386n4

-4	-3	5	17
35088y3	13158e4	109650u3	74562bh3

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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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