Cremona's table of elliptic curves

1344 = 2⁶ · 3 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 7-	Signs for the Atkin-Lehner involutions
Class	1344r	Isogeny class
Conductor	1344	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1040449536 = 218 · 34 · 72	Discriminant
Eigenvalues	2- 3-  2 7-  4  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-257,255]	[a1,a2,a3,a4,a6]
j	7189057/3969	j-invariant
L	2.7025476654956	L(r)(E,1)/r!
Ω	1.3512738327478	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1344a2 336e2 4032bm2 33600em2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1344r2

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	2	-6	4	0	2	0	-6	2	-4	0	-6	12	2	4	0	-6	16	-12	-14	18

---

Quadratic twists for elliptic curve 1344r2

-4	8	-3	5	-7
1344a2	336e2	4032bm2	33600em2	9408cd2

---

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