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	4400y	Isogeny class
Conductor	4400	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3872000000000 = 214 · 59 · 112	Discriminant
Eigenvalues	2- -2 5-  0 11+ -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-42208,-3350412]	[a1,a2,a3,a4,a6]
Generators	[-118:32:1]	Generators of the group modulo torsion
j	1039509197/484	j-invariant
L	2.5070330389791	L(r)(E,1)/r!
Ω	0.33309041828385	Real period
R	1.8816460196423	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	550l2 17600de2 39600et2 4400x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4400y2

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	-	0	+	-2	6	-4	2	-10	8	8	-2	0	-2	0	12	-10	6	0	6	-12	-16	18	-12

---

Quadratic twists for elliptic curve 4400y2

-4	8	-3	5	-11
550l2	17600de2	39600et2	4400x2	48400de2

---

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