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	10920o	Isogeny class
Conductor	10920	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	50381604000000 = 28 · 32 · 56 · 72 · 134	Discriminant
Eigenvalues	2- 3- 5+ 7+  4 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-84516,9422784]	[a1,a2,a3,a4,a6]
Generators	[2:3042:1]	Generators of the group modulo torsion
j	260798860029250384/196803140625	j-invariant
L	5.1662148198443	L(r)(E,1)/r!
Ω	0.62822515136674	Real period
R	2.0558771041739	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	21840c2 87360ba2 32760p2 54600l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920o2

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

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Quadratic twists for elliptic curve 10920o2

-4	8	-3	5	-7
21840c2	87360ba2	32760p2	54600l2	76440ci2

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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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