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	18	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-6612408 = -1 · 23 · 33 · 113 · 23	Discriminant
Eigenvalues	2- 3+  0 -1 11- -1 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-35,155]	[a1,a2,a3,a4,a6]
Generators	[-3:16:1]	Generators of the group modulo torsion
j	-170953875/244904	j-invariant
L	5.310564281692	L(r)(E,1)/r!
Ω	2.1351296411028	Real period
R	1.2436163545903	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	36432s1 4554a2 113850l1 50094a1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554u1

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

---

Quadratic twists for elliptic curve 4554u1

-4	-3	5	-11	-23
36432s1	4554a2	113850l1	50094a1	104742be1

---

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