Cremona's table of elliptic curves

17520 = 2⁴ · 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 73-	Signs for the Atkin-Lehner involutions
Conductor	17520	Conductor
Count	4	Number of curves in isogeny class
Curves	17520g1 17520g2 17520g3 17520g4	Curves in isogeny class
deg	13824	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ -4 -4 -2  6  4	Hecke eigenvalues for primes less than 20
L	4.4844874810608	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	8760d 70080bx 52560h 87600f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 17520g

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

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Quadratic twists for isogeny class 17520g

-4	8	-3	5
8760d	70080bx	52560h	87600f

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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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