Cremona's table of elliptic curves

6205 = 5 · 17 · 73

Field	Data	Notes
Atkin-Lehner	5- 17+ 73+	Signs for the Atkin-Lehner involutions
Class	6205c	Isogeny class
Conductor	6205	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	13464	Modular degree for the optimal curve
Δ	43284574921405 = 5 · 179 · 73	Discriminant
Eigenvalues	0 -1 5-  0  0 -3 17+ -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-64625,6337038]	[a1,a2,a3,a4,a6]
j	29849159085774340096/43284574921405	j-invariant
L	0.64068750677788	L(r)(E,1)/r!
Ω	0.64068750677788	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	99280s1 55845g1 31025b1 105485b1	Quadratic twists by: -4 -3 5 17

Hecke Eigenvalues for elliptic curve 6205c1

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	-1	-	0	0	-3	+	-1	1	-7	1	-1	4	-12	4	-3	-12	12	-2	-4	+	-4	4	7	-2

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Quadratic twists for elliptic curve 6205c1

-4	-3	5	17
99280s1	55845g1	31025b1	105485b1

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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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