Cremona's table of elliptic curves

17640 = 2³ · 3² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7-	Signs for the Atkin-Lehner involutions
Class	17640bs	Isogeny class
Conductor	17640	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	3.8919722282469E+21	Discriminant
Eigenvalues	2- 3+ 5- 7-  2  6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-118314567,-495333234774]	[a1,a2,a3,a4,a6]
j	308971819397054448/6565234375	j-invariant
L	2.9296823030957	L(r)(E,1)/r!
Ω	0.04577628598587	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35280s2 17640e2 88200j2 2520k2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 17640bs2

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	6	2	-4	-2	0	-4	10	-10	12	12	-4	4	-6	-4	2	-6	8	16	-18	-6

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Quadratic twists for elliptic curve 17640bs2

-4	-3	5	-7
35280s2	17640e2	88200j2	2520k2

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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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