Cremona's table of elliptic curves

10920 = 2³ · 3 · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	10920r	Isogeny class
Conductor	10920	Conductor
∏ cp	480	Product of Tamagawa factors cp
Δ	1.2310640298684E+21	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11889456,-15692828400]	[a1,a2,a3,a4,a6]
Generators	[-2064:7644:1]	Generators of the group modulo torsion
j	181513839777967159549636/1202210966668359375	j-invariant
L	5.4579570545051	L(r)(E,1)/r!
Ω	0.081335917524897	Real period
R	0.55919914397335	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	21840b4 87360bf4 32760u4 54600b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920r3

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	4	0	-10	-8	-10	-2	-4	-4	-2	0	-2	-4	4	-14	-16	8	6	10

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Quadratic twists for elliptic curve 10920r3

-4	8	-3	5	-7
21840b4	87360bf4	32760u4	54600b4	76440cc4

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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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