Cremona's table of elliptic curves

10816 = 2⁶ · 13²

Field	Data	Notes
Atkin-Lehner	2- 13+	Signs for the Atkin-Lehner involutions
Class	10816bh	Isogeny class
Conductor	10816	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2768896 = -1 · 214 · 132	Discriminant
Eigenvalues	2- -2 -3 -4  0 13+  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2097,36271]	[a1,a2,a3,a4,a6]
Generators	[-13:248:1] [21:44:1]	Generators of the group modulo torsion
j	-368484688	j-invariant
L	3.6444485687799	L(r)(E,1)/r!
Ω	2.2147148583737	Real period
R	0.411390269384	Regulator
r	2	Rank of the group of rational points
S	0.99999999999983	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	10816m2 2704h2 97344fv2 10816bg2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 10816bh2

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	-3	-4	0	+	3	-2	6	-9	2	-7	-3	-4	-6	-9	0	-5	-2	-6	1	4	-12	-6	-14

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Quadratic twists for elliptic curve 10816bh2

-4	8	-3	13
10816m2	2704h2	97344fv2	10816bg2

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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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