Cremona's table of elliptic curves

3502 = 2 · 17 · 103

Field	Data	Notes
Atkin-Lehner	2- 17+ 103+	Signs for the Atkin-Lehner involutions
Class	3502a	Isogeny class
Conductor	3502	Conductor
∏ cp	14	Product of Tamagawa factors cp
Δ	-26578863583519616 = -1 · 27 · 1710 · 103	Discriminant
Eigenvalues	2-  0 -2  4  0 -6 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,40734,-7187359]	[a1,a2,a3,a4,a6]
j	7474891353357854223/26578863583519616	j-invariant
L	2.677452937453	L(r)(E,1)/r!
Ω	0.1912466383895	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	28016f2 112064b2 31518g2 87550d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3502a2

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

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Quadratic twists for elliptic curve 3502a2

-4	8	-3	5	17
28016f2	112064b2	31518g2	87550d2	59534d2

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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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