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	10920v	Isogeny class
Conductor	10920	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	163537920 = 210 · 33 · 5 · 7 · 132	Discriminant
Eigenvalues	2- 3- 5- 7- -2 13-  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-280,-1792]	[a1,a2,a3,a4,a6]
j	2379293284/159705	j-invariant
L	3.5150430178597	L(r)(E,1)/r!
Ω	1.1716810059532	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840h1 87360o1 32760m1 54600c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920v1

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
-	-	-	-	-2	-	6	6	0	0	-4	6	-2	-4	12	-10	4	-4	10	0	-14	16	-2	14	-2

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Quadratic twists for elliptic curve 10920v1

-4	8	-3	5	-7
21840h1	87360o1	32760m1	54600c1	76440bs1

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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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