Cremona's table of elliptic curves

1140 = 2² · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	1140c	Isogeny class
Conductor	1140	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	21053520 = 24 · 36 · 5 · 192	Discriminant
Eigenvalues	2- 3- 5+  2  0 -4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1221,16020]	[a1,a2,a3,a4,a6]
j	12592337649664/1315845	j-invariant
L	2.0660411292116	L(r)(E,1)/r!
Ω	2.0660411292116	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	4560l1 18240n1 3420c1 5700f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1140c1

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	-4	6	-	6	6	8	-4	-6	-10	6	12	12	-10	-4	0	14	8	-18	-6	8

---

Quadratic twists for elliptic curve 1140c1

-4	8	-3	5	-7	-19
4560l1	18240n1	3420c1	5700f1	55860l1	21660e1

---

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