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	96	Product of Tamagawa factors cp
Δ	3530133540360000 = 26 · 37 · 54 · 79	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-154893542,-741951322059]	[a1,a2,a3,a4,a6]
Generators	[61721:14963139:1]	Generators of the group modulo torsion
j	4791901410190533590281/41160000	j-invariant
L	5.5942974861861	L(r)(E,1)/r!
Ω	0.042794822277858	Real period
R	5.4468208111169	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	35280fe8 1470b7 22050bd8 630i7	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4410bk7

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 4410bk7

-4	-3	5	-7
35280fe8	1470b7	22050bd8	630i7

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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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