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	342d1 342d2	Curves in isogeny class
deg	48	Modular degree for the optimal curve
Eigenvalues	2- 3+  2  0  2 -4  0 19+	Hecke eigenvalues for primes less than 20
L	2.2375637155543	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2736k 10944g 342e 8550a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 342d

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
-	+	2	0	2	-4	0	+	8	-2	-2	-8	-2	4	-4	2	0	-10	0	-16	6	14	-6	-18	10

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Quadratic twists for isogeny class 342d

-4	8	-3	5	-7	-11	13	17	-19
2736k	10944g	342e	8550a	16758t	41382e	57798c	98838z	6498d

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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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