Cremona's table of elliptic curves

726 = 2 · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 11-	Signs for the Atkin-Lehner involutions
Class	726h	Isogeny class
Conductor	726	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	452725956672 = 26 · 3 · 119	Discriminant
Eigenvalues	2- 3-  0 -2 11-  4  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-9743,367929]	[a1,a2,a3,a4,a6]
j	57736239625/255552	j-invariant
L	2.8285144256968	L(r)(E,1)/r!
Ω	0.94283814189894	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5808p3 23232i3 2178c3 18150i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 726h3

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	-	4	6	4	6	-6	8	-10	-6	-8	-6	0	0	-8	-4	6	-2	-14	12	-6	14

---

Quadratic twists for elliptic curve 726h3

-4	8	-3	5	-7	-11	13
5808p3	23232i3	2178c3	18150i3	35574by3	66a3	122694bd3

---

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