Cremona's table of elliptic curves

342 = 2 · 3² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 19+	Signs for the Atkin-Lehner involutions
Conductor	342	Conductor
Count	2	Number of curves in isogeny class
Curves	342g1 342g2	Curves in isogeny class
deg	60	Modular degree for the optimal curve
Eigenvalues	2+ 3-  4  3 -2 -1 -3 19+	Hecke eigenvalues for primes less than 20
L	1.360215538183	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2736x 10944bl 38b 8550z	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 342g

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
+	-	4	3	-2	-1	-3	+	1	5	-8	-2	8	4	-8	1	-15	2	3	-2	9	-10	6	0	-2

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Quadratic twists for isogeny class 342g

-4	8	-3	5	-7	-11	13	17	-19
2736x	10944bl	38b	8550z	16758o	41382ct	57798bu	98838o	6498x

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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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