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	4389k	Isogeny class
Conductor	4389	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	8374342621029 = 3 · 7 · 115 · 195	Discriminant
Eigenvalues	-2 3-  1 7- 11-  4  8 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-52480,-4642862]	[a1,a2,a3,a4,a6]
j	15985030403346927616/8374342621029	j-invariant
L	1.5771901953224	L(r)(E,1)/r!
Ω	0.31543803906448	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	70224bf2 13167i2 109725i2 30723t2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4389k2

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	-	1	-	-	4	8	+	-6	0	7	8	-3	4	3	9	10	-13	-2	-13	-6	-5	14	0	3

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Quadratic twists for elliptic curve 4389k2

-4	-3	5	-7	-11	-19
70224bf2	13167i2	109725i2	30723t2	48279r2	83391m2

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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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