Cremona's table of elliptic curves

920 = 2³ · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 5- 23-	Signs for the Atkin-Lehner involutions
Class	920a	Isogeny class
Conductor	920	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	720	Modular degree for the optimal curve
Δ	-205962976000 = -1 · 28 · 53 · 235	Discriminant
Eigenvalues	2+  0 5-  1 -6 -2 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1468,-2844]	[a1,a2,a3,a4,a6]
Generators	[302:-5290:1]	Generators of the group modulo torsion
j	1366664500224/804542875	j-invariant
L	2.4148869342804	L(r)(E,1)/r!
Ω	0.58803784933974	Real period
R	0.068444770377505	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1840b1 7360d1 8280t1 4600h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 920a1

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	-	1	-6	-2	-3	-6	-	3	-3	1	9	-8	4	1	1	8	-7	-5	-6	0	-11	4	6

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Quadratic twists for elliptic curve 920a1

-4	8	-3	5	-7	-11	-23
1840b1	7360d1	8280t1	4600h1	45080c1	111320x1	21160a1

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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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