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	4410bk	Isogeny class
Conductor	4410	Conductor
∏ cp	384	Product of Tamagawa factors cp
deg	36864	Modular degree for the optimal curve
Δ	518713499808000 = 28 · 39 · 53 · 77	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-219407,39596631]	[a1,a2,a3,a4,a6]
Generators	[-229:8934:1]	Generators of the group modulo torsion
j	13619385906841/6048000	j-invariant
L	5.5942974861861	L(r)(E,1)/r!
Ω	0.5135378673343	Real period
R	0.45390173425974	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	35280fe1 1470b1 22050bd1 630i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4410bk1

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

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Quadratic twists for elliptic curve 4410bk1

-4	-3	5	-7
35280fe1	1470b1	22050bd1	630i1

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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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