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	10920d	Isogeny class
Conductor	10920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4906137600 = -1 · 211 · 34 · 52 · 7 · 132	Discriminant
Eigenvalues	2+ 3+ 5+ 7-  2 13-  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,104,-3380]	[a1,a2,a3,a4,a6]
Generators	[49:342:1]	Generators of the group modulo torsion
j	60160462/2395575	j-invariant
L	3.9049165887751	L(r)(E,1)/r!
Ω	0.65703410685954	Real period
R	2.9716239598578	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	21840n2 87360dl2 32760br2 54600ca2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920d2

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	-	4	0	0	-6	-2	2	-12	-6	-4	-8	8	2	-12	8	10	8	-12	-12	-2

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Quadratic twists for elliptic curve 10920d2

-4	8	-3	5	-7
21840n2	87360dl2	32760br2	54600ca2	76440bg2

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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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