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	56	Product of Tamagawa factors cp
deg	10304	Modular degree for the optimal curve
Δ	12072019113 = 37 · 74 · 112 · 19	Discriminant
Eigenvalues	1 3-  2 7- 11-  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-104765,-13060501]	[a1,a2,a3,a4,a6]
j	127164651399625564873/12072019113	j-invariant
L	3.7151301699837	L(r)(E,1)/r!
Ω	0.26536644071312	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	70224bg1 13167h1 109725g1 30723q1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4389j1

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 4389j1

-4	-3	5	-7	-11	-19
70224bg1	13167h1	109725g1	30723q1	48279q1	83391l1

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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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