Cremona's table of elliptic curves

3660 = 2² · 3 · 5 · 61

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 61-	Signs for the Atkin-Lehner involutions
Class	3660g	Isogeny class
Conductor	3660	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	14288640 = 28 · 3 · 5 · 612	Discriminant
Eigenvalues	2- 3- 5- -4  0 -2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-100,308]	[a1,a2,a3,a4,a6]
Generators	[74:129:8]	Generators of the group modulo torsion
j	436334416/55815	j-invariant
L	3.9981908269589	L(r)(E,1)/r!
Ω	2.1450540850562	Real period
R	3.7278228598642	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	14640ba2 58560c2 10980e2 18300e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3660g2

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
-	-	-	-4	0	-2	6	-8	2	8	-6	-4	-2	-8	0	-2	-8	-	-4	0	-10	-14	0	-12	-6

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Quadratic twists for elliptic curve 3660g2

-4	8	-3	5
14640ba2	58560c2	10980e2	18300e2

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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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