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
Class	23520r	Isogeny class
Conductor	23520	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	474360768000 = 29 · 32 · 53 · 77	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4  2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4116016,3212760284]	[a1,a2,a3,a4,a6]
Generators	[1847:43758:1]	Generators of the group modulo torsion
j	128025588102048008/7875	j-invariant
L	6.4533297023148	L(r)(E,1)/r!
Ω	0.513160612151	Real period
R	6.2878264129281	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	23520bh4 47040bp4 70560ee4 117600fd4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520r4

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	2	2	-8	0	-2	0	-6	-2	4	-8	-6	0	2	4	4	2	4	12	-18	-6

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Quadratic twists for elliptic curve 23520r4

-4	8	-3	5	-7
23520bh4	47040bp4	70560ee4	117600fd4	3360f2

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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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