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	17940c	Isogeny class
Conductor	17940	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-6417066240 = -1 · 28 · 36 · 5 · 13 · 232	Discriminant
Eigenvalues	2- 3+ 5- -2  4 13+  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,140,-3848]	[a1,a2,a3,a4,a6]
Generators	[4542:19261:216]	Generators of the group modulo torsion
j	1176960944/25066665	j-invariant
L	4.5816380277232	L(r)(E,1)/r!
Ω	0.6493774022901	Real period
R	7.0554318822392	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	71760ca2 53820k2 89700w2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 17940c2

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

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Quadratic twists for elliptic curve 17940c2

-4	-3	5
71760ca2	53820k2	89700w2

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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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