Cremona's table of elliptic curves

17940 = 2² · 3 · 5 · 13 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13- 23+	Signs for the Atkin-Lehner involutions
Class	17940l	Isogeny class
Conductor	17940	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-2566166304000 = -1 · 28 · 3 · 53 · 133 · 233	Discriminant
Eigenvalues	2- 3- 5- -1 -3 13-  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-257340,-50332812]	[a1,a2,a3,a4,a6]
Generators	[1631:62220:1]	Generators of the group modulo torsion
j	-7362195136213844176/10024087125	j-invariant
L	6.1899043297706	L(r)(E,1)/r!
Ω	0.10598454964905	Real period
R	6.4893151882016	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	71760bl2 53820p2 89700c2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 17940l2

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
-	-	-	-1	-3	-	0	2	+	-6	-1	-10	-3	8	3	12	0	8	8	0	-1	-1	-6	18	-10

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Quadratic twists for elliptic curve 17940l2

-4	-3	5
71760bl2	53820p2	89700c2

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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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