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	102a	Isogeny class
Conductor	102	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-46818 = -1 · 2 · 34 · 172	Discriminant
Eigenvalues	2+ 3+ -4 -2  0 -6 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,8,10]	[a1,a2,a3,a4,a6]
Generators	[1:4:1]	Generators of the group modulo torsion
j	46268279/46818	j-invariant
L	0.67728489801667	L(r)(E,1)/r!
Ω	2.3639319117707	Real period
R	0.28650778588176	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	816j2 3264o2 306d2 2550bd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102a2

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
+	+	-4	-2	0	-6	+	4	6	-4	-6	-4	-10	-4	4	-2	12	-4	-12	-6	2	10	-12	-2	6

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Quadratic twists for elliptic curve 102a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816j2	3264o2	306d2	2550bd2	4998x2	12342y2	17238j2	1734g2	36822bc2	53958m2	85782q2	98022l2

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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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