Cremona's table of elliptic curves

440 = 2³ · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	440a	Isogeny class
Conductor	440	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-44000000 = -1 · 28 · 56 · 11	Discriminant
Eigenvalues	2+  0 5+ -2 11+  0  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,17,-318]	[a1,a2,a3,a4,a6]
Generators	[7:12:1]	Generators of the group modulo torsion
j	2122416/171875	j-invariant
L	1.7340332812889	L(r)(E,1)/r!
Ω	0.96380700711097	Real period
R	1.7991499008569	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	880b2 3520l2 3960s2 2200e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 440a2

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

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Quadratic twists for elliptic curve 440a2

-4	8	-3	5	-7	-11	13	17
880b2	3520l2	3960s2	2200e2	21560i2	4840f2	74360s2	127160g2

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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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