Cremona's table of elliptic curves

3036 = 2² · 3 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 23-	Signs for the Atkin-Lehner involutions
Class	3036h	Isogeny class
Conductor	3036	Conductor
∏ cp	33	Product of Tamagawa factors cp
deg	3168	Modular degree for the optimal curve
Δ	-379341168624 = -1 · 24 · 311 · 11 · 233	Discriminant
Eigenvalues	2- 3- -1  1 11- -2 -8  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1606,38093]	[a1,a2,a3,a4,a6]
Generators	[41:207:1]	Generators of the group modulo torsion
j	-28649084226304/23708823039	j-invariant
L	3.823651870423	L(r)(E,1)/r!
Ω	0.87242560496977	Real period
R	0.13281159773122	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	12144m1 48576i1 9108g1 75900i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3036h1

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	1	-	-2	-8	0	-	-2	-5	-8	11	-5	10	-5	-6	-14	6	-4	0	13	16	1	-2

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Quadratic twists for elliptic curve 3036h1

-4	8	-3	5	-11	-23
12144m1	48576i1	9108g1	75900i1	33396r1	69828v1

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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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