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	6545b	Isogeny class
Conductor	6545	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	224984375 = 56 · 7 · 112 · 17	Discriminant
Eigenvalues	-1  2 5+ 7+ 11-  6 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-606,5444]	[a1,a2,a3,a4,a6]
j	24614236831969/224984375	j-invariant
L	1.7768232669894	L(r)(E,1)/r!
Ω	1.7768232669894	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	104720u2 58905bf2 32725m2 45815ba2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6545b2

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

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Quadratic twists for elliptic curve 6545b2

-4	-3	5	-7	-11	17
104720u2	58905bf2	32725m2	45815ba2	71995o2	111265n2

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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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