Cremona's table of elliptic curves

441 = 3² · 7²

Field	Data	Notes
Atkin-Lehner	3- 7-	Signs for the Atkin-Lehner involutions
Class	441d	Isogeny class
Conductor	441	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	29417779503 = 36 · 79	Discriminant
Eigenvalues	-1 3-  0 7- -4  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-16400,-804212]	[a1,a2,a3,a4,a6]
Generators	[-74:41:1]	Generators of the group modulo torsion
j	16581375	j-invariant
L	1.2945586180599	L(r)(E,1)/r!
Ω	0.42188320156825	Real period
R	1.5342618682703	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	7056bq4 28224bn4 49a4 11025y4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441d4

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
-1	-	0	-	-4	0	0	0	-8	-2	0	-6	0	-12	0	10	0	0	4	-16	0	8	0	0	0

---

Quadratic twists for elliptic curve 441d4

-4	8	-3	5	-7	-11	13	17
7056bq4	28224bn4	49a4	11025y4	441d2	53361bd4	74529x4	127449bk4

---

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