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	4554d	Isogeny class
Conductor	4554	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-3497472 = -1 · 29 · 33 · 11 · 23	Discriminant
Eigenvalues	2+ 3+  0 -3 11- -1 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-747,-7675]	[a1,a2,a3,a4,a6]
j	-1708632808875/129536	j-invariant
L	0.91314591332672	L(r)(E,1)/r!
Ω	0.45657295666336	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	36432u1 4554t1 113850dm1 50094bk1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554d1

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	-3	-	-1	-2	4	+	6	1	-3	5	-2	-8	-4	9	-6	-9	16	4	-8	7	-2	16

---

Quadratic twists for elliptic curve 4554d1

-4	-3	5	-11	-23
36432u1	4554t1	113850dm1	50094bk1	104742c1

---

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