Cremona's table of elliptic curves

242 = 2 · 11²

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Conductor	242	Conductor
Count	2	Number of curves in isogeny class
Curves	242a1 242a2	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2- -2 -3 -2 11- -5 -3 -2	Hecke eigenvalues for primes less than 20
L	1.4486447783624	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1936i 7744k 2178f 6050j	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 242a

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	-3	-2	-	-5	-3	-2	6	3	2	-7	-3	-8	6	-3	0	10	-10	12	-14	-2	-18	-9	11

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Quadratic twists for isogeny class 242a

-4	8	-3	5	-7	-11	13	17	-19	-23
1936i	7744k	2178f	6050j	11858bl	242b	40898s	69938q	87362t	128018bd

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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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