Cremona's table of elliptic curves

438 = 2 · 3 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 73-	Signs for the Atkin-Lehner involutions
Class	438a	Isogeny class
Conductor	438	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	224073792 = 26 · 32 · 733	Discriminant
Eigenvalues	2- 3-  0  2  0 -4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-72938,-7587996]	[a1,a2,a3,a4,a6]
j	42912679782639390625/224073792	j-invariant
L	2.6145898482891	L(r)(E,1)/r!
Ω	0.29050998314323	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	3504p3 14016j3 1314a3 10950b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 438a3

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	0	-4	6	-4	0	0	2	2	6	-4	-6	-12	0	-10	-4	12	-	-4	0	6	2

---

Quadratic twists for elliptic curve 438a3

-4	8	-3	5	-7	-11	13	17	73
3504p3	14016j3	1314a3	10950b3	21462y3	52998h3	74022i3	126582y3	31974o3

---

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