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	10920n	Isogeny class
Conductor	10920	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2631221013657600 = 211 · 32 · 52 · 7 · 138	Discriminant
Eigenvalues	2- 3+ 5- 7- -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-76720,-7772468]	[a1,a2,a3,a4,a6]
Generators	[489:8450:1]	Generators of the group modulo torsion
j	24385137179326562/1284775885575	j-invariant
L	4.1909402411586	L(r)(E,1)/r!
Ω	0.28780150417833	Real period
R	1.8202390277301	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	21840s6 87360ch6 32760n6 54600t6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920n5

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	0	6	-8	-10	-6	-4	-8	6	12	-2	-12	-8	10	8	4	-6	18

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Quadratic twists for elliptic curve 10920n5

-4	8	-3	5	-7
21840s6	87360ch6	32760n6	54600t6	76440cs6

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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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