Cremona's table of elliptic curves

2139 = 3 · 23 · 31

Field	Data	Notes
Atkin-Lehner	3- 23+ 31-	Signs for the Atkin-Lehner involutions
Conductor	2139	Conductor
Count	2	Number of curves in isogeny class
Curves	2139f1 2139f2	Curves in isogeny class
deg	288	Modular degree for the optimal curve
Eigenvalues	1 3- -2  2  0 -2 -4  6	Hecke eigenvalues for primes less than 20
L	4.0187434946594	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	34224y 6417m 53475h 104811c	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 2139f

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

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Quadratic twists for isogeny class 2139f

-4	-3	5	-7	-23	-31
34224y	6417m	53475h	104811c	49197r	66309d

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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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