Cremona's table of elliptic curves

4902 = 2 · 3 · 19 · 43

Field	Data	Notes
Atkin-Lehner	2+ 3- 19- 43+	Signs for the Atkin-Lehner involutions
Class	4902g	Isogeny class
Conductor	4902	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1664	Modular degree for the optimal curve
Δ	29412 = 22 · 32 · 19 · 43	Discriminant
Eigenvalues	2+ 3- -4 -2 -4  4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-153,712]	[a1,a2,a3,a4,a6]
Generators	[5:6:1]	Generators of the group modulo torsion
j	392383937161/29412	j-invariant
L	2.2960213750507	L(r)(E,1)/r!
Ω	3.5473154134919	Real period
R	0.64725605349836	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	39216r1 14706r1 122550bw1 93138ba1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 4902g1

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
+	-	-4	-2	-4	4	-2	-	-4	6	10	10	6	+	8	-8	-4	-8	-12	-8	-6	2	4	10	-10

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Quadratic twists for elliptic curve 4902g1

-4	-3	5	-19
39216r1	14706r1	122550bw1	93138ba1

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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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