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	10920p	Isogeny class
Conductor	10920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	298593750000000000 = 210 · 3 · 516 · 72 · 13	Discriminant
Eigenvalues	2- 3- 5+ 7+  0 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-170976,6962640]	[a1,a2,a3,a4,a6]
j	539798599042964356/291595458984375	j-invariant
L	2.1449524560153	L(r)(E,1)/r!
Ω	0.26811905700191	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	21840d4 87360u4 32760r4 54600f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920p3

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

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Quadratic twists for elliptic curve 10920p3

-4	8	-3	5	-7
21840d4	87360u4	32760r4	54600f4	76440cd4

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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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