Cremona's table of elliptic curves

5082 = 2 · 3 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 11-	Signs for the Atkin-Lehner involutions
Conductor	5082	Conductor
Count	4	Number of curves in isogeny class
Curves	5082j1 5082j2 5082j3 5082j4	Curves in isogeny class
deg	11520	Modular degree for the optimal curve
Eigenvalues	2+ 3-  0 7+ 11- -2  0 -2	Hecke eigenvalues for primes less than 20
L	3.2703776388695	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	40656bq 15246bf 127050fz 35574j	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 5082j

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	0	-2	0	6	2	2	0	4	-6	-6	0	-2	-4	-12	4	-8	-6	-6	2

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Quadratic twists for isogeny class 5082j

-4	-3	5	-7	-11
40656bq	15246bf	127050fz	35574j	462g

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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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