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	-2927177028 = -1 · 22 · 316 · 17	Discriminant
Eigenvalues	2- 3- -2  0 -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,226,-2232]	[a1,a2,a3,a4,a6]
j	1276229915423/2927177028	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	816h4 3264h4 306c4 2550b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102b4

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 102b4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816h4	3264h4	306c4	2550b4	4998bd4	12342l4	17238f4	1734i4	36822i3	53958bh3	85782b3	98022q3

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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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