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	6545d	Isogeny class
Conductor	6545	Conductor
∏ cp	100	Product of Tamagawa factors cp
deg	56800	Modular degree for the optimal curve
Δ	-65737271317080055 = -1 · 5 · 710 · 115 · 172	Discriminant
Eigenvalues	1  2 5+ 7- 11-  2 17-  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-78463,-14990448]	[a1,a2,a3,a4,a6]
j	-53422854315234736249/65737271317080055	j-invariant
L	3.4065894064351	L(r)(E,1)/r!
Ω	0.1362635762574	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	104720o1 58905bo1 32725d1 45815w1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6545d1

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

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Quadratic twists for elliptic curve 6545d1

-4	-3	5	-7	-11	17
104720o1	58905bo1	32725d1	45815w1	71995e1	111265i1

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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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