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	4836b	Isogeny class
Conductor	4836	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	6336	Modular degree for the optimal curve
Δ	-122523948144 = -1 · 24 · 32 · 134 · 313	Discriminant
Eigenvalues	2- 3+ -1 -5 -4 13- -4 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,474,16209]	[a1,a2,a3,a4,a6]
Generators	[-18:39:1] [-12:93:1]	Generators of the group modulo torsion
j	734551414016/7657746759	j-invariant
L	3.6882484576259	L(r)(E,1)/r!
Ω	0.76950204483689	Real period
R	0.066569898502919	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	19344r1 77376q1 14508j1 120900v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4836b1

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	-5	-4	-	-4	-5	-6	0	-	-8	-7	-8	8	8	-5	4	-4	-5	-16	-10	-6	-10	13

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Quadratic twists for elliptic curve 4836b1

-4	8	-3	5	13
19344r1	77376q1	14508j1	120900v1	62868b1

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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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