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	816h	Isogeny class
Conductor	816	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	110841053184 = 214 · 34 · 174	Discriminant
Eigenvalues	2- 3+ -2  0  4 -2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-27744,1787904]	[a1,a2,a3,a4,a6]
Generators	[146:910:1]	Generators of the group modulo torsion
j	576615941610337/27060804	j-invariant
L	1.90101848041	L(r)(E,1)/r!
Ω	0.99348185850601	Real period
R	3.8269817694885	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	102b3 3264bc3 2448n3 20400cx3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 816h3

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 816h3

-4	8	-3	5	-7	-11	17
102b3	3264bc3	2448n3	20400cx3	39984df4	98736bz4	13872bi3

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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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