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	4554bc	Isogeny class
Conductor	4554	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-9.8476651636491E+19	Discriminant
Eigenvalues	2- 3-  2  4 11+ -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,549976,450761883]	[a1,a2,a3,a4,a6]
j	25236442759706220743/135084570146078256	j-invariant
L	4.3696413633015	L(r)(E,1)/r!
Ω	0.13655129260317	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	36432cd3 1518c4 113850bd3 50094bd3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554bc4

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	4	+	-2	-6	0	-	6	8	6	2	0	8	10	-12	-2	12	0	2	12	4	6	18

---

Quadratic twists for elliptic curve 4554bc4

-4	-3	5	-11	-23
36432cd3	1518c4	113850bd3	50094bd3	104742cn3

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations