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	64	Product of Tamagawa factors cp
Δ	30338064 = 24 · 38 · 172	Discriminant
Eigenvalues	2- 3- -2  0 -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-114,-396]	[a1,a2,a3,a4,a6]
j	163936758817/30338064	j-invariant
L	1.4796779277945	L(r)(E,1)/r!
Ω	1.4796779277945	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	816h2 3264h2 306c2 2550b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 102b2

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 102b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
816h2	3264h2	306c2	2550b2	4998bd2	12342l2	17238f2	1734i2	36822i2	53958bh2	85782b2	98022q2

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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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