Cremona's table of elliptic curves

832 = 2⁶ · 13

Field	Data	Notes
Atkin-Lehner	2+ 13+	Signs for the Atkin-Lehner involutions
Class	832c	Isogeny class
Conductor	832	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1744830464 = -1 · 227 · 13	Discriminant
Eigenvalues	2+ -1  3 -1 -6 13+ -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-29409,-1931423]	[a1,a2,a3,a4,a6]
Generators	[649:15872:1]	Generators of the group modulo torsion
j	-10730978619193/6656	j-invariant
L	2.1713281808024	L(r)(E,1)/r!
Ω	0.18228387316981	Real period
R	2.9779488210397	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	832g3 26a2 7488t3 20800v3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 832c3

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 832c3

-4	8	-3	5	-7	-11	13
832g3	26a2	7488t3	20800v3	40768bl3	100672bs3	10816i3

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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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