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	4	Product of Tamagawa factors cp
Δ	11591221248 = 218 · 32 · 173	Discriminant
Eigenvalues	2+ 3-  0  2  0  2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-751,-6046]	[a1,a2,a3,a4,a6]
j	46753267515625/11591221248	j-invariant
L	0.92868832812702	L(r)(E,1)/r!
Ω	0.92868832812702	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	816e3 3264a3 306a3 2550v3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102c3

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 102c3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816e3	3264a3	306a3	2550v3	4998g3	12342bd3	17238n3	1734b3	36822p3	53958v3	85782m3	98022e3

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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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