Cremona's table of elliptic curves

10816 = 2⁶ · 13²

Field	Data	Notes
Atkin-Lehner	2- 13+	Signs for the Atkin-Lehner involutions
Class	10816bg	Isogeny class
Conductor	10816	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	24960	Modular degree for the optimal curve
Δ	-13364932132864 = -1 · 214 · 138	Discriminant
Eigenvalues	2- -2  3  4  0 13+  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2929,185199]	[a1,a2,a3,a4,a6]
j	-208	j-invariant
L	2.4570055330457	L(r)(E,1)/r!
Ω	0.61425138326142	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	10816l1 2704i1 97344ga1 10816bh1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 10816bg1

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 10816bg1

-4	8	-3	13
10816l1	2704i1	97344ga1	10816bh1

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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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