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	2	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	13312 = 210 · 13	Discriminant
Eigenvalues	2-  0 -2  2 -2 13-  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16,24]	[a1,a2,a3,a4,a6]
Generators	[1:3:1]	Generators of the group modulo torsion
j	442368/13	j-invariant
L	2.168815928857	L(r)(E,1)/r!
Ω	3.9630716474951	Real period
R	1.0945126012182	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	832d1 208c2 7488cb1 20800cg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 832h1

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 832h1

-4	8	-3	5	-7	-11	13
832d1	208c2	7488cb1	20800cg1	40768ck1	100672ci1	10816ba1

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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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