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
Conductor	4389	Conductor
Count	4	Number of curves in isogeny class
Curves	4389j1 4389j2 4389j3 4389j4	Curves in isogeny class
deg	10304	Modular degree for the optimal curve
Eigenvalues	1 3-  2 7- 11-  2 -2 19+	Hecke eigenvalues for primes less than 20
L	3.7151301699837	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	70224bg 13167h 109725g 30723q	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4389j

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 isogeny class 4389j

-4	-3	5	-7	-11	-19
70224bg	13167h	109725g	30723q	48279q	83391l

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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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