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	4902n	Isogeny class
Conductor	4902	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	38117952 = 26 · 36 · 19 · 43	Discriminant
Eigenvalues	2- 3- -2 -2  0  4 -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-89,-135]	[a1,a2,a3,a4,a6]
Generators	[-8:13:1]	Generators of the group modulo torsion
j	78018694417/38117952	j-invariant
L	5.6578460130869	L(r)(E,1)/r!
Ω	1.6330341339191	Real period
R	0.3849580017663	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	39216m1 14706k1 122550g1 93138h1	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 4902n1

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	-	-8	2	-2	10	8	-	-8	-6	-14	-12	-4	8	-2	-6	-16	-14	10

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Quadratic twists for elliptic curve 4902n1

-4	-3	5	-19
39216m1	14706k1	122550g1	93138h1

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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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