Cremona's table of elliptic curves

5472 = 2⁵ · 3² · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 19+	Signs for the Atkin-Lehner involutions
Class	5472f	Isogeny class
Conductor	5472	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	372229779456 = 212 · 314 · 19	Discriminant
Eigenvalues	2+ 3-  2 -4 -4  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1884,-11360]	[a1,a2,a3,a4,a6]
j	247673152/124659	j-invariant
L	1.527795685039	L(r)(E,1)/r!
Ω	0.76389784251952	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5472v3 10944bi1 1824i3 103968ca3	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 5472f2

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
+	-	2	-4	-4	2	-2	+	4	6	0	2	6	-12	4	-2	12	-10	-4	0	10	-8	12	14	10

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Quadratic twists for elliptic curve 5472f2

-4	8	-3	-19
5472v3	10944bi1	1824i3	103968ca3

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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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