Cremona's table of elliptic curves

4950 = 2 · 3² · 5² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	4950k	Isogeny class
Conductor	4950	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	9600	Modular degree for the optimal curve
Δ	-49884595200 = -1 · 210 · 311 · 52 · 11	Discriminant
Eigenvalues	2+ 3- 5+  3 11+  4  7  5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-8127,-280179]	[a1,a2,a3,a4,a6]
j	-3257444411545/2737152	j-invariant
L	2.0111876438629	L(r)(E,1)/r!
Ω	0.25139845548287	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	39600ec1 1650s1 4950br2 54450gc1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4950k1

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
+	-	+	3	+	4	7	5	1	10	2	-7	3	4	-13	-4	5	12	-12	3	4	-15	-14	0	-7

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Quadratic twists for elliptic curve 4950k1

-4	-3	5	-11
39600ec1	1650s1	4950br2	54450gc1

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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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