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	6545a	Isogeny class
Conductor	6545	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	10800	Modular degree for the optimal curve
Δ	-3758183996875 = -1 · 55 · 7 · 112 · 175	Discriminant
Eigenvalues	0  2 5+ 7+ 11+  1 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,1199,-92293]	[a1,a2,a3,a4,a6]
Generators	[1551:10882:27]	Generators of the group modulo torsion
j	190466673606656/3758183996875	j-invariant
L	4.210059761299	L(r)(E,1)/r!
Ω	0.38237958396008	Real period
R	5.5050791646587	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	104720x1 58905bm1 32725h1 45815p1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6545a1

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	2	+	+	+	1	+	4	-5	0	11	-5	3	2	13	4	-12	-7	2	-14	-10	-14	7	0	-10

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Quadratic twists for elliptic curve 6545a1

-4	-3	5	-7	-11	17
104720x1	58905bm1	32725h1	45815p1	71995l1	111265p1

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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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