Cremona's table of elliptic curves

4554 = 2 · 3² · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 23-	Signs for the Atkin-Lehner involutions
Class	4554s	Isogeny class
Conductor	4554	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	17920	Modular degree for the optimal curve
Δ	1329804432 = 24 · 33 · 11 · 234	Discriminant
Eigenvalues	2- 3+  0  2 11+ -6  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-192395,-32433525]	[a1,a2,a3,a4,a6]
Generators	[515:1950:1]	Generators of the group modulo torsion
j	29170184477654905875/49252016	j-invariant
L	5.5615925727704	L(r)(E,1)/r!
Ω	0.22795613544681	Real period
R	3.0497054629992	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	36432z1 4554c1 113850b1 50094e1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554s1

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

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Quadratic twists for elliptic curve 4554s1

-4	-3	5	-11	-23
36432z1	4554c1	113850b1	50094e1	104742bh1

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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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