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	64	Product of Tamagawa factors cp
Δ	1023367955652108 = 22 · 33 · 112 · 238	Discriminant
Eigenvalues	2- 3+  0  2 11+ -6  2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-192455,-32412237]	[a1,a2,a3,a4,a6]
Generators	[-2018:2523:8]	Generators of the group modulo torsion
j	29197483936393921875/37902516876004	j-invariant
L	5.5615925727704	L(r)(E,1)/r!
Ω	0.22795613544681	Real period
R	1.5248527314996	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	36432z2 4554c2 113850b2 50094e2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554s2

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

---

Quadratic twists for elliptic curve 4554s2

-4	-3	5	-11	-23
36432z2	4554c2	113850b2	50094e2	104742bh2

---

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