Cremona's table of elliptic curves

23520 = 2⁵ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7-	Signs for the Atkin-Lehner involutions
Conductor	23520	Conductor
Count	4	Number of curves in isogeny class
Curves	23520m1 23520m2 23520m3 23520m4	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5+ 7-  0 -2  2  4	Hecke eigenvalues for primes less than 20
L	5.9681976636956	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	23520bc 47040bb 70560du 117600ek	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 23520m

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

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Quadratic twists for isogeny class 23520m

-4	8	-3	5	-7
23520bc	47040bb	70560du	117600ek	3360g

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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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