Cremona's table of elliptic curves

6405 = 3 · 5 · 7 · 61

Field	Data	Notes
Atkin-Lehner	3- 5- 7- 61-	Signs for the Atkin-Lehner involutions
Class	6405l	Isogeny class
Conductor	6405	Conductor
∏ cp	56	Product of Tamagawa factors cp
Δ	2.9109790921211E+24	Discriminant
Eigenvalues	1 3- 5- 7-  0  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-127573328,548491163381]	[a1,a2,a3,a4,a6]
Generators	[10990:4898901:8]	Generators of the group modulo torsion
j	229616642609954489617939242361/2910979092121124267578125	j-invariant
L	6.1764946668517	L(r)(E,1)/r!
Ω	0.080610007427536	Real period
R	5.4729952839416	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	102480bk4 19215n3 32025d4 44835e4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6405l3

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

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Quadratic twists for elliptic curve 6405l3

-4	-3	5	-7
102480bk4	19215n3	32025d4	44835e4

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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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