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
deg	16	Modular degree for the optimal curve
Δ	352512 = 28 · 34 · 17	Discriminant
Eigenvalues	2- 3- -2  0 -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-34,68]	[a1,a2,a3,a4,a6]
j	4354703137/352512	j-invariant
L	1.4796779277945	L(r)(E,1)/r!
Ω	2.959355855589	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	816h1 3264h1 306c1 2550b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102b1

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 102b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816h1	3264h1	306c1	2550b1	4998bd1	12342l1	17238f1	1734i1	36822i1	53958bh1	85782b1	98022q1

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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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