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	10920t	Isogeny class
Conductor	10920	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	15799671014400 = 210 · 32 · 52 · 74 · 134	Discriminant
Eigenvalues	2- 3- 5- 7+ -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7560,-168192]	[a1,a2,a3,a4,a6]
Generators	[-64:240:1]	Generators of the group modulo torsion
j	46670944188964/15429366225	j-invariant
L	5.5458098896977	L(r)(E,1)/r!
Ω	0.52555466641687	Real period
R	2.6380747066276	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	21840j3 87360b3 32760j3 54600g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920t3

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

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Quadratic twists for elliptic curve 10920t3

-4	8	-3	5	-7
21840j3	87360b3	32760j3	54600g3	76440bt3

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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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