Cremona's table of elliptic curves

54720 = 2⁶ · 3² · 5 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	54720j	Isogeny class
Conductor	54720	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	499046400000000 = 217 · 33 · 58 · 192	Discriminant
Eigenvalues	2+ 3+ 5-  0  2  0  0 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-48012,3903984]	[a1,a2,a3,a4,a6]
Generators	[-2:2000:1]	Generators of the group modulo torsion
j	3458592648054/141015625	j-invariant
L	7.2400794348905	L(r)(E,1)/r!
Ω	0.51853292740171	Real period
R	0.43633194804487	Regulator
r	1	Rank of the group of rational points
S	1.0000000000076	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	54720da2 6840a2 54720c2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 54720j2

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	0	-	4	-2	-6	4	10	-4	8	-6	8	2	-8	-8	-10	-14	10	2	2

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Quadratic twists for elliptic curve 54720j2

-4	8	-3
54720da2	6840a2	54720c2

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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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