Cremona's table of elliptic curves

832 = 2⁶ · 13

Field	Data	Notes
Atkin-Lehner	2- 13-	Signs for the Atkin-Lehner involutions
Class	832h	Isogeny class
Conductor	832	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-2768896 = -1 · 214 · 132	Discriminant
Eigenvalues	2-  0 -2  2 -2 13-  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,4,80]	[a1,a2,a3,a4,a6]
Generators	[-2:8:1]	Generators of the group modulo torsion
j	432/169	j-invariant
L	2.168815928857	L(r)(E,1)/r!
Ω	1.9815358237475	Real period
R	0.54725630060912	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	832d2 208c1 7488cb2 20800cg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 832h2

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
-	0	-2	2	-2	-	6	-6	-8	-2	-10	6	-6	4	2	-6	-10	2	10	-10	2	4	-6	-6	2

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Quadratic twists for elliptic curve 832h2

-4	8	-3	5	-7	-11	13
832d2	208c1	7488cb2	20800cg2	40768ck2	100672ci2	10816ba2

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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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