Cremona's table of elliptic curves

4522 = 2 · 7 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2+ 7- 17- 19-	Signs for the Atkin-Lehner involutions
Conductor	4522	Conductor
Count	1	Number of curves in isogeny class
Curves	4522d1	Curves in isogeny class
deg	968	Modular degree for the optimal curve
Eigenvalues	2+  0 -2 7-  2 -4 17- 19-	Hecke eigenvalues for primes less than 20
L	0.75636930957402	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	36176r 40698bq 113050bs 31654d	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 4522d

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	-2	-	2	-4	-	-	5	-8	3	8	-6	-11	-3	9	-5	4	-6	8	-9	-12	2	13	-4

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Quadratic twists for isogeny class 4522d

-4	-3	5	-7	17	-19
36176r	40698bq	113050bs	31654d	76874c	85918bn

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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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