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	102c	Isogeny class
Conductor	102	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-1228691592 = -1 · 23 · 312 · 172	Discriminant
Eigenvalues	2+ 3-  0  2  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-216,2062]	[a1,a2,a3,a4,a6]
j	-1107111813625/1228691592	j-invariant
L	0.92868832812702	L(r)(E,1)/r!
Ω	1.3930324921905	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	816e2 3264a2 306a2 2550v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102c2

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	0	2	+	-4	-6	0	-10	8	6	-4	12	6	-12	8	-4	6	2	-10	12	-18	14

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Quadratic twists for elliptic curve 102c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816e2	3264a2	306a2	2550v2	4998g2	12342bd2	17238n2	1734b2	36822p2	53958v2	85782m2	98022e2

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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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