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	6405m	Isogeny class
Conductor	6405	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	88682611605 = 3 · 5 · 7 · 615	Discriminant
Eigenvalues	-2 3- 5- 7- -3 -1  3  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-751210,-250855814]	[a1,a2,a3,a4,a6]
Generators	[-4006:-1:8]	Generators of the group modulo torsion
j	46882241959765764468736/88682611605	j-invariant
L	2.7067255487444	L(r)(E,1)/r!
Ω	0.16216576173743	Real period
R	3.3382207436943	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	102480bn2 19215o2 32025f2 44835f2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6405m2

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
-2	-	-	-	-3	-1	3	0	4	-5	-8	-7	-3	4	-2	-6	-10	-	13	-3	9	10	-16	10	-7

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Quadratic twists for elliptic curve 6405m2

-4	-3	5	-7
102480bn2	19215o2	32025f2	44835f2

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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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