Cremona's table of elliptic curves

322 = 2 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7- 23+	Signs for the Atkin-Lehner involutions
Conductor	322	Conductor
Count	2	Number of curves in isogeny class
Curves	322b1 322b2	Curves in isogeny class
deg	112	Modular degree for the optimal curve
Eigenvalues	2+  2  0 7-  4  0  6 -6	Hecke eigenvalues for primes less than 20
L	1.4602213360674	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	2576n 10304j 2898t 8050p	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 322b

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

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Quadratic twists for isogeny class 322b

-4	8	-3	5	-7	-11	13	17	-19	-23
2576n	10304j	2898t	8050p	2254a	38962w	54418f	93058b	116242x	7406c

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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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