Cremona's table of elliptic curves

20832 = 2⁵ · 3 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 31+	Signs for the Atkin-Lehner involutions
Class	20832a	Isogeny class
Conductor	20832	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	572188905566208 = 212 · 32 · 75 · 314	Discriminant
Eigenvalues	2+ 3+  0 7+ -6 -6  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-85793,-9574959]	[a1,a2,a3,a4,a6]
Generators	[-163:228:1]	Generators of the group modulo torsion
j	17050000247272000/139694557023	j-invariant
L	3.2599562858182	L(r)(E,1)/r!
Ω	0.27909418095157	Real period
R	2.9201220486785	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	20832bg2 41664bf1 62496be2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 20832a2

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	+	-6	-6	0	4	6	6	+	2	0	4	-4	2	0	-2	12	-10	-14	8	-4	12	14

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Quadratic twists for elliptic curve 20832a2

-4	8	-3
20832bg2	41664bf1	62496be2

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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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