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	896	Product of Tamagawa factors cp
Δ	-2.9127679639863E+24	Discriminant
Eigenvalues	1 3- 5- 7-  0  2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-126791998,555613455353]	[a1,a2,a3,a4,a6]
Generators	[47509:10064120:1]	Generators of the group modulo torsion
j	-225423528728548412092824042841/2912767963986266106328125	j-invariant
L	6.1764946668517	L(r)(E,1)/r!
Ω	0.080610007427536	Real period
R	1.3682488209854	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	102480bk3 19215n4 32025d3 44835e3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6405l4

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 6405l4

-4	-3	5	-7
102480bk3	19215n4	32025d3	44835e3

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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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