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	4554u	Isogeny class
Conductor	4554	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-5268627342 = -1 · 2 · 39 · 11 · 233	Discriminant
Eigenvalues	2- 3+  0 -1 11- -1 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,295,-2969]	[a1,a2,a3,a4,a6]
Generators	[350:2251:8]	Generators of the group modulo torsion
j	144703125/267674	j-invariant
L	5.310564281692	L(r)(E,1)/r!
Ω	0.71170988036762	Real period
R	3.7308490637709	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	36432s2 4554a1 113850l2 50094a2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554u2

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	-1	-	-1	-6	-4	+	6	5	11	-9	-10	0	0	-9	-10	5	-12	-16	8	-9	6	8

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Quadratic twists for elliptic curve 4554u2

-4	-3	5	-11	-23
36432s2	4554a1	113850l2	50094a2	104742be2

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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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