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	4902a	Isogeny class
Conductor	4902	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6720	Modular degree for the optimal curve
Δ	69662939652 = 22 · 310 · 193 · 43	Discriminant
Eigenvalues	2+ 3+ -2  2  0 -4 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-6306,-194976]	[a1,a2,a3,a4,a6]
j	27739154300781097/69662939652	j-invariant
L	0.53581842122286	L(r)(E,1)/r!
Ω	0.53581842122286	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	39216bf1 14706p1 122550cb1 93138bn1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 4902a1

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
+	+	-2	2	0	-4	-6	+	0	-2	10	-2	-8	-	0	2	-2	0	16	0	-2	-10	16	-2	10

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Quadratic twists for elliptic curve 4902a1

-4	-3	5	-19
39216bf1	14706p1	122550cb1	93138bn1

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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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