Cremona's table of elliptic curves

17430 = 2 · 3 · 5 · 7 · 83

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 83+	Signs for the Atkin-Lehner involutions
Class	17430m	Isogeny class
Conductor	17430	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	48414348864000000 = 212 · 33 · 56 · 72 · 833	Discriminant
Eigenvalues	2+ 3- 5+ 7-  0  2  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-302964,-63331214]	[a1,a2,a3,a4,a6]
Generators	[1505:53007:1]	Generators of the group modulo torsion
j	3075351278706579064249/48414348864000000	j-invariant
L	4.5498620383049	L(r)(E,1)/r!
Ω	0.20368841948802	Real period
R	3.7228937296658	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	52290cp3 87150bx3 122010h3	Quadratic twists by: -3 5 -7

Hecke Eigenvalues for elliptic curve 17430m3

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	2	-6	-6	-4	2	0	-10	0	-6	6	2	-10	0	2	-4	+	-18	14

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Quadratic twists for elliptic curve 17430m3

-3	5	-7
52290cp3	87150bx3	122010h3

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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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