Cremona's table of elliptic curves

441 = 3² · 7²

Field	Data	Notes
Atkin-Lehner	3+ 7-	Signs for the Atkin-Lehner involutions
Class	441a	Isogeny class
Conductor	441	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-5559960326067 = -1 · 39 · 710	Discriminant
Eigenvalues	0 3+  0 7-  0  7  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,0,113447]	[a1,a2,a3,a4,a6]
j	0	j-invariant
L	1.2091773641466	L(r)(E,1)/r!
Ω	0.60458868207332	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7056bh2 28224k2 441a1 11025e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441a2

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	+	0	-	0	7	0	7	0	0	7	-1	0	5	0	0	0	-14	11	0	7	-13	0	0	-14

---

Quadratic twists for elliptic curve 441a2

-4	8	-3	5	-7	-11	13	17
7056bh2	28224k2	441a1	11025e2	441b2	53361j2	74529f2	127449h2

---

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