Cremona's table of elliptic curves

102 = 2 · 3 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 17-	Signs for the Atkin-Lehner involutions
Class	102b	Isogeny class
Conductor	102	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	27060804 = 22 · 34 · 174	Discriminant
Eigenvalues	2- 3- -2  0 -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1734,-27936]	[a1,a2,a3,a4,a6]
j	576615941610337/27060804	j-invariant
L	1.4796779277945	L(r)(E,1)/r!
Ω	0.73983896389724	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	816h3 3264h3 306c3 2550b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102b3

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	0	-4	-2	-	4	0	-10	8	-2	10	12	0	6	12	-10	-12	0	10	-8	4	-6	-14

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Quadratic twists for elliptic curve 102b3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816h3	3264h3	306c3	2550b3	4998bd3	12342l3	17238f3	1734i3	36822i4	53958bh4	85782b4	98022q4

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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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