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	10920a	Isogeny class
Conductor	10920	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1160792156160 = 211 · 34 · 5 · 72 · 134	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  0 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-846776,-299634804]	[a1,a2,a3,a4,a6]
Generators	[-88344905:78158:166375]	Generators of the group modulo torsion
j	32786865108064062578/566793045	j-invariant
L	3.3300998030042	L(r)(E,1)/r!
Ω	0.15738283975578	Real period
R	10.579615313117	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	21840o4 87360cy4 32760bj4 54600ck4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920a3

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

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Quadratic twists for elliptic curve 10920a3

-4	8	-3	5	-7
21840o4	87360cy4	32760bj4	54600ck4	76440bi4

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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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