Cremona's table of elliptic curves

20700 = 2² · 3² · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	20700k	Isogeny class
Conductor	20700	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	120960	Modular degree for the optimal curve
Δ	-29325587793750000 = -1 · 24 · 36 · 58 · 235	Discriminant
Eigenvalues	2- 3- 5+ -2  0  3  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16425,-8278875]	[a1,a2,a3,a4,a6]
Generators	[1621629940:62157184525:1092727]	Generators of the group modulo torsion
j	-2688885504/160908575	j-invariant
L	4.9309464744025	L(r)(E,1)/r!
Ω	0.16382927378249	Real period
R	15.04903965133	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	82800ef1 2300g1 4140j1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 20700k1

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
-	-	+	-2	0	3	4	-4	+	-1	1	8	-11	10	-1	-6	8	-8	-12	-13	-7	-12	16	6	-2

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Quadratic twists for elliptic curve 20700k1

-4	-3	5
82800ef1	2300g1	4140j1

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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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