Cremona's table of elliptic curves

4410 = 2 · 3² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	4410d	Isogeny class
Conductor	4410	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-18685737721350 = -1 · 2 · 33 · 52 · 712	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-3684,-224162]	[a1,a2,a3,a4,a6]
Generators	[317:5354:1]	Generators of the group modulo torsion
j	-1740992427/5882450	j-invariant
L	2.9152761123424	L(r)(E,1)/r!
Ω	0.28175201963878	Real period
R	2.5867393214075	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	35280dg2 4410v4 22050da2 630a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4410d2

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	-2	0	6	-8	-4	-6	2	6	6	-12	-8	2	6	-2	-16	0	-6	10

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Quadratic twists for elliptic curve 4410d2

-4	-3	5	-7
35280dg2	4410v4	22050da2	630a2

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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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