Cremona's table of elliptic curves

81600 = 2⁶ · 3 · 5² · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 17-	Signs for the Atkin-Lehner involutions
Class	81600dw	Isogeny class
Conductor	81600	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	-4.1002322393825E+21	Discriminant
Eigenvalues	2+ 3- 5+ -2  0  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,2895167,-2427229537]	[a1,a2,a3,a4,a6]
Generators	[4763:345600:1]	Generators of the group modulo torsion
j	655215969476375/1001033261568	j-invariant
L	8.158022254671	L(r)(E,1)/r!
Ω	0.07341925883238	Real period
R	2.3149075550562	Regulator
r	1	Rank of the group of rational points
S	1.0000000000859	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	81600gk4 2550v4 3264a4	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 81600dw4

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	2	-	4	6	0	-10	8	6	-4	-12	6	12	-8	-4	6	-2	-10	12	-18	-14

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Quadratic twists for elliptic curve 81600dw4

-4	8	5
81600gk4	2550v4	3264a4

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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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