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	4389j	Isogeny class
Conductor	4389	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	-427664014254832509 = -1 · 37 · 7 · 118 · 194	Discriminant
Eigenvalues	1 3-  2 7- 11-  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-28465,-31520299]	[a1,a2,a3,a4,a6]
j	-2550558824302680073/427664014254832509	j-invariant
L	3.7151301699837	L(r)(E,1)/r!
Ω	0.13268322035656	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	70224bg3 13167h4 109725g3 30723q3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4389j4

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

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Quadratic twists for elliptic curve 4389j4

-4	-3	5	-7	-11	-19
70224bg3	13167h4	109725g3	30723q3	48279q3	83391l3

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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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