Cremona's table of elliptic curves

4876 = 2² · 23 · 53

Field	Data	Notes
Atkin-Lehner	2- 23- 53-	Signs for the Atkin-Lehner involutions
Class	4876c	Isogeny class
Conductor	4876	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	1296	Modular degree for the optimal curve
Δ	-546833648 = -1 · 24 · 233 · 532	Discriminant
Eigenvalues	2- -1 -2 -2 -4 -1  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,6,-1127]	[a1,a2,a3,a4,a6]
Generators	[12:23:1] [16:53:1]	Generators of the group modulo torsion
j	1257728/34177103	j-invariant
L	3.6448756929622	L(r)(E,1)/r!
Ω	0.75711167110081	Real period
R	0.26745472534987	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	19504g1 78016f1 43884b1 121900b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4876c1

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	-2	-2	-4	-1	0	-4	-	-3	-5	-12	-7	-2	-11	-	4	2	4	-9	3	-10	-14	-10	0

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Quadratic twists for elliptic curve 4876c1

-4	8	-3	5	-23
19504g1	78016f1	43884b1	121900b1	112148c1

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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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