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	10920m	Isogeny class
Conductor	10920	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1907942400 = 210 · 32 · 52 · 72 · 132	Discriminant
Eigenvalues	2- 3+ 5- 7+  0 13- -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3640,-83300]	[a1,a2,a3,a4,a6]
j	5210113839844/1863225	j-invariant
L	1.2292878325771	L(r)(E,1)/r!
Ω	0.61464391628856	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	21840v2 87360bv2 32760i2 54600w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10920m2

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	0	0	-6	0	-10	-6	-12	8	14	4	10	16	0	10	-8	16	-6	-6

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Quadratic twists for elliptic curve 10920m2

-4	8	-3	5	-7
21840v2	87360bv2	32760i2	54600w2	76440cl2

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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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