Cremona's table of elliptic curves

832 = 2⁶ · 13

Field	Data	Notes
Atkin-Lehner	2- 13+	Signs for the Atkin-Lehner involutions
Class	832g	Isogeny class
Conductor	832	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-4607442944 = -1 · 221 · 133	Discriminant
Eigenvalues	2-  1  3  1  6 13+ -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-289,3679]	[a1,a2,a3,a4,a6]
j	-10218313/17576	j-invariant
L	2.4602673712116	L(r)(E,1)/r!
Ω	1.2301336856058	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	832c2 208a2 7488bv2 20800db2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 832g2

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
-	1	3	1	6	+	-3	2	0	-6	4	7	0	-1	-3	0	-6	-8	14	3	2	-8	12	-6	-10

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Quadratic twists for elliptic curve 832g2

-4	8	-3	5	-7	-11	13
832c2	208a2	7488bv2	20800db2	40768dr2	100672dq2	10816bf2

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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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