Cremona's table of elliptic curves

4836 = 2² · 3 · 13 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 31-	Signs for the Atkin-Lehner involutions
Class	4836f	Isogeny class
Conductor	4836	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-156918528 = -1 · 28 · 32 · 133 · 31	Discriminant
Eigenvalues	2- 3- -2 -2  3 13-  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-189,-1233]	[a1,a2,a3,a4,a6]
Generators	[18:39:1]	Generators of the group modulo torsion
j	-2932006912/612963	j-invariant
L	3.8948241183946	L(r)(E,1)/r!
Ω	0.63638456263338	Real period
R	1.0200394402712	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	19344o1 77376e1 14508l1 120900e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4836f1

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	-2	3	-	0	-2	-2	0	-	7	-10	-6	8	-4	-2	10	-4	0	3	-12	-4	1	-2

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Quadratic twists for elliptic curve 4836f1

-4	8	-3	5	13
19344o1	77376e1	14508l1	120900e1	62868g1

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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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