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	816b	Isogeny class
Conductor	816	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	23970816 = 210 · 34 · 172	Discriminant
Eigenvalues	2+ 3+  2  4 -4  6 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-72,0]	[a1,a2,a3,a4,a6]
j	40873252/23409	j-invariant
L	1.775290563775	L(r)(E,1)/r!
Ω	1.775290563775	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	408b2 3264be2 2448d2 20400z2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 816b2

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	4	-4	6	-	-4	4	-6	4	10	-6	-4	8	6	4	-14	12	12	10	4	-4	-6	-6

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Quadratic twists for elliptic curve 816b2

-4	8	-3	5	-7	-11	17
408b2	3264be2	2448d2	20400z2	39984r2	98736g2	13872m2

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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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