Cremona's table of elliptic curves

4400 = 2⁴ · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	4400u	Isogeny class
Conductor	4400	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-1090355200 = -1 · 215 · 52 · 113	Discriminant
Eigenvalues	2- -2 5+ -4 11- -5  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-368,3028]	[a1,a2,a3,a4,a6]
Generators	[34:176:1]	Generators of the group modulo torsion
j	-53969305/10648	j-invariant
L	2.1156738447794	L(r)(E,1)/r!
Ω	1.4865498953475	Real period
R	0.11860089882177	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	550h2 17600bw2 39600dn2 4400bc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4400u2

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	-	-5	0	7	3	3	-5	4	12	5	0	-6	-12	-10	14	-3	-8	4	-15	3	13

---

Quadratic twists for elliptic curve 4400u2

-4	8	-3	5	-11
550h2	17600bw2	39600dn2	4400bc2	48400cq2

---

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