Cremona's table of elliptic curves

4818 = 2 · 3 · 11 · 73

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 73-	Signs for the Atkin-Lehner involutions
Class	4818b	Isogeny class
Conductor	4818	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	2688	Modular degree for the optimal curve
Δ	45790272 = 26 · 34 · 112 · 73	Discriminant
Eigenvalues	2- 3+ -4  2 11+  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-160,641]	[a1,a2,a3,a4,a6]
Generators	[1:21:1]	Generators of the group modulo torsion
j	453161802241/45790272	j-invariant
L	3.960375280108	L(r)(E,1)/r!
Ω	1.9609257856226	Real period
R	0.33660761234525	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	38544r1 14454e1 120450w1 52998c1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4818b1

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	-6	-4	4	0	-2	2	-2	12	-2	8	-4	-14	4	0	-	-16	-12	-10	18

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Quadratic twists for elliptic curve 4818b1

-4	-3	5	-11
38544r1	14454e1	120450w1	52998c1

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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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