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	10920f	Isogeny class
Conductor	10920	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	473990130432000 = 211 · 33 · 53 · 74 · 134	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0 13+ -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-146760,-21565908]	[a1,a2,a3,a4,a6]
Generators	[449:1690:1]	Generators of the group modulo torsion
j	170694618101416082/231440493375	j-invariant
L	4.1992586705095	L(r)(E,1)/r!
Ω	0.24393984503947	Real period
R	2.8690534134417	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	21840r4 87360cq4 32760bf4 54600cc4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920f3

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	+	-2	-4	4	-2	0	-6	10	-8	12	-10	4	2	-4	8	2	-8	-4	-14	2

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Quadratic twists for elliptic curve 10920f3

-4	8	-3	5	-7
21840r4	87360cq4	32760bf4	54600cc4	76440z4

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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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