Cremona's table of elliptic curves

106722 = 2 · 3² · 7² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	106722	Conductor
Count	6	Number of curves in isogeny class
Curves	106722cv1 106722cv2 106722cv3 106722cv4 106722cv5 106722cv6	Curves in isogeny class
deg	552960	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0 7- 11- -4 -6  2	Hecke eigenvalues for primes less than 20
L	8.5854487745219	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	11858bk 15246i 882i	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for isogeny class 106722cv

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

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Quadratic twists for isogeny class 106722cv

-3	-7	-11
11858bk	15246i	882i

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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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