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	10920b	Isogeny class
Conductor	10920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1.052104247195E+20	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  0 13+ -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1703016,699273900]	[a1,a2,a3,a4,a6]
j	266716694084614489298/51372277695070605	j-invariant
L	1.4306471286017	L(r)(E,1)/r!
Ω	0.17883089107522	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840k4 87360dp4 32760bm4 54600cd4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920b3

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

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Quadratic twists for elliptic curve 10920b3

-4	8	-3	5	-7
21840k4	87360dp4	32760bm4	54600cd4	76440bm4

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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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