Cremona's table of elliptic curves

816 = 2⁴ · 3 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 17+	Signs for the Atkin-Lehner involutions
Class	816j	Isogeny class
Conductor	816	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-191766528 = -1 · 213 · 34 · 172	Discriminant
Eigenvalues	2- 3- -4  2  0 -6 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,120,-396]	[a1,a2,a3,a4,a6]
Generators	[6:24:1]	Generators of the group modulo torsion
j	46268279/46818	j-invariant
L	2.3068323672236	L(r)(E,1)/r!
Ω	0.97392878266664	Real period
R	0.29607303022037	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	102a2 3264t2 2448t2 20400ch2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 816j2

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 816j2

-4	8	-3	5	-7	-11	17
102a2	3264t2	2448t2	20400ch2	39984cp2	98736dp2	13872y2

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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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