Cremona's table of elliptic curves

8547 = 3 · 7 · 11 · 37

Field	Data	Notes
Atkin-Lehner	3+ 7+ 11- 37-	Signs for the Atkin-Lehner involutions
Conductor	8547	Conductor
Count	6	Number of curves in isogeny class
Curves	8547a1 8547a2 8547a3 8547a4 8547a5 8547a6	Curves in isogeny class
deg	22528	Modular degree for the optimal curve
Eigenvalues	-1 3+ -2 7+ 11- -2  2  4	Hecke eigenvalues for primes less than 20
L	1.6865250960445	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	25641e 59829m 94017k	Quadratic twists by: -3 -7 -11

Hecke Eigenvalues for isogeny class 8547a

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
-1	+	-2	+	-	-2	2	4	0	-2	-8	-	2	4	-8	-10	4	14	4	-8	-14	8	4	2	10

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Quadratic twists for isogeny class 8547a

-3	-7	-11
25641e	59829m	94017k

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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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