Cremona's table of elliptic curves

40222 = 2 · 7 · 13² · 17

Field	Data	Notes
Atkin-Lehner	2+ 7+ 13+ 17-	Signs for the Atkin-Lehner involutions
Conductor	40222	Conductor
Count	4	Number of curves in isogeny class
Curves	40222f1 40222f2 40222f3 40222f4	Curves in isogeny class
deg	774144	Modular degree for the optimal curve
Eigenvalues	2+ -2  0 7+  0 13+ 17-  4	Hecke eigenvalues for primes less than 20
L	4.8934757165885	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	3094i	Quadratic twists by: 13

Hecke Eigenvalues for isogeny class 40222f

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

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Quadratic twists for isogeny class 40222f

13
3094i

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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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