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	23520bh	Isogeny class
Conductor	23520	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-948899895648768000 = -1 · 212 · 38 · 53 · 710	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4  2  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-226641,-62544159]	[a1,a2,a3,a4,a6]
Generators	[2273:105644:1]	Generators of the group modulo torsion
j	-2671731885376/1969120125	j-invariant
L	3.9796685266596	L(r)(E,1)/r!
Ω	0.10599375604938	Real period
R	4.693281796719	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	23520r2 47040dl1 70560br2 117600dg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 23520bh2

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 23520bh2

-4	8	-3	5	-7
23520r2	47040dl1	70560br2	117600dg2	3360z4

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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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