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	5472o	Isogeny class
Conductor	5472	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-7393591996416 = -1 · 212 · 36 · 195	Discriminant
Eigenvalues	2+ 3- -3 -5  5 -4  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-504,130896]	[a1,a2,a3,a4,a6]
Generators	[72:684:1]	Generators of the group modulo torsion
j	-4741632/2476099	j-invariant
L	2.6912195904994	L(r)(E,1)/r!
Ω	0.60222480606423	Real period
R	0.22343978223743	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	5472h1 10944cc1 608e1 103968cl1	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 5472o1

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
+	-	-3	-5	5	-4	3	-	0	0	10	8	0	-5	-5	6	10	-5	-10	-10	-11	-10	0	10	-12

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Quadratic twists for elliptic curve 5472o1

-4	8	-3	-19
5472h1	10944cc1	608e1	103968cl1

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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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