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	816f	Isogeny class
Conductor	816	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-60370944 = -1 · 212 · 3 · 173	Discriminant
Eigenvalues	2- 3+  3  4  3 -1 17+  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-949,11581]	[a1,a2,a3,a4,a6]
j	-23100424192/14739	j-invariant
L	1.9526773173775	L(r)(E,1)/r!
Ω	1.9526773173775	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	51a2 3264z2 2448s2 20400dm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 816f2

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
-	+	3	4	3	-1	+	1	-9	6	-2	-4	-3	7	6	-6	-6	8	4	-12	2	10	6	0	-16

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Quadratic twists for elliptic curve 816f2

-4	8	-3	5	-7	-11	17
51a2	3264z2	2448s2	20400dm2	39984dv2	98736cs2	13872bn2

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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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