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	16	Product of Tamagawa factors cp
Δ	-125563633938 = -1 · 2 · 32 · 178	Discriminant
Eigenvalues	2- 3- -2  0 -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1644,-30942]	[a1,a2,a3,a4,a6]
j	-491411892194497/125563633938	j-invariant
L	1.4796779277945	L(r)(E,1)/r!
Ω	0.36991948194862	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	816h6 3264h6 306c6 2550b6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102b6

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 102b6

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816h6	3264h6	306c6	2550b6	4998bd6	12342l6	17238f6	1734i6	36822i5	53958bh5	85782b5	98022q5

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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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