Cremona's table of elliptic curves

1368 = 2³ · 3² · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 19+	Signs for the Atkin-Lehner involutions
Class	1368g	Isogeny class
Conductor	1368	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-15075306067968 = -1 · 211 · 318 · 19	Discriminant
Eigenvalues	2- 3- -2  0  0  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,5109,123046]	[a1,a2,a3,a4,a6]
Generators	[174:2506:1]	Generators of the group modulo torsion
j	9878111854/10097379	j-invariant
L	2.4954051649011	L(r)(E,1)/r!
Ω	0.46241305357234	Real period
R	5.3964851243342	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	2736j4 10944be4 456b4 34200p3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1368g4

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

---

Quadratic twists for elliptic curve 1368g4

-4	8	-3	5	-7	-19
2736j4	10944be4	456b4	34200p3	67032cr3	25992k3

---

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