Cremona's table of elliptic curves

4900 = 2² · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7-	Signs for the Atkin-Lehner involutions
Class	4900i	Isogeny class
Conductor	4900	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-6860000000 = -1 · 28 · 57 · 73	Discriminant
Eigenvalues	2- -1 5+ 7- -1  5 -1 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,467,-1063]	[a1,a2,a3,a4,a6]
Generators	[47:350:1]	Generators of the group modulo torsion
j	8192/5	j-invariant
L	3.1046818227615	L(r)(E,1)/r!
Ω	0.77072670689916	Real period
R	0.16784385626848	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	19600ce1 78400ba1 44100bl1 980c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4900i1

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	5	-1	-6	4	3	2	-8	-10	2	7	2	14	-8	-14	0	10	-11	4	4	3

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Quadratic twists for elliptic curve 4900i1

-4	8	-3	5	-7
19600ce1	78400ba1	44100bl1	980c1	4900e1

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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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