Cremona's table of elliptic curves

5440 = 2⁶ · 5 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5- 17-	Signs for the Atkin-Lehner involutions
Class	5440l	Isogeny class
Conductor	5440	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	8242646220800 = 226 · 52 · 173	Discriminant
Eigenvalues	2+  2 5-  2 -6 -2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-163425,25482977]	[a1,a2,a3,a4,a6]
Generators	[224:255:1]	Generators of the group modulo torsion
j	1841373668746009/31443200	j-invariant
L	5.5540030812228	L(r)(E,1)/r!
Ω	0.67591699918481	Real period
R	1.3694982983417	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5440y1 170b1 48960bm1 27200o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5440l1

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

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Quadratic twists for elliptic curve 5440l1

-4	8	-3	5	17
5440y1	170b1	48960bm1	27200o1	92480y1

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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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