Cremona's table of elliptic curves

6545 = 5 · 7 · 11 · 17

Field	Data	Notes
Atkin-Lehner	5- 7+ 11- 17-	Signs for the Atkin-Lehner involutions
Class	6545f	Isogeny class
Conductor	6545	Conductor
∏ cp	240	Product of Tamagawa factors cp
Δ	1397574673837890625 = 510 · 72 · 112 · 176	Discriminant
Eigenvalues	-1  0 5- 7+ 11-  6 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-24628977,-47039262496]	[a1,a2,a3,a4,a6]
j	1652200750486169002301567841/1397574673837890625	j-invariant
L	1.0165511683944	L(r)(E,1)/r!
Ω	0.067770077892961	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	104720bf2 58905s2 32725k2 45815k2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6545f2

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	0	-	+	-	6	-	-4	-8	2	8	-6	2	4	8	6	-12	6	-8	0	-6	16	12	-14	10

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Quadratic twists for elliptic curve 6545f2

-4	-3	5	-7	-11	17
104720bf2	58905s2	32725k2	45815k2	71995z2	111265d2

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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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