Cremona's table of elliptic curves

4389 = 3 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	3- 7- 11+ 19-	Signs for the Atkin-Lehner involutions
Class	4389i	Isogeny class
Conductor	4389	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	17525277 = 32 · 7 · 114 · 19	Discriminant
Eigenvalues	1 3- -2 7- 11+ -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-6387,-196979]	[a1,a2,a3,a4,a6]
j	28808239025774377/17525277	j-invariant
L	2.1362077117976	L(r)(E,1)/r!
Ω	0.53405192794941	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	70224bl4 13167o4 109725f4 30723d4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4389i3

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	-	+	-2	6	-	0	-6	0	-2	2	4	4	6	-4	10	8	4	6	-16	12	-6	2

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Quadratic twists for elliptic curve 4389i3

-4	-3	5	-7	-11	-19
70224bl4	13167o4	109725f4	30723d4	48279m4	83391i4

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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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