Cremona's table of elliptic curves

1120 = 2⁵ · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 5- 7-	Signs for the Atkin-Lehner involutions
Class	1120o	Isogeny class
Conductor	1120	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	73789452800 = 29 · 52 · 78	Discriminant
Eigenvalues	2-  0 5- 7-  0 -2  2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1067,-3026]	[a1,a2,a3,a4,a6]
j	262389836808/144120025	j-invariant
L	1.7861403160169	L(r)(E,1)/r!
Ω	0.89307015800844	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	1120l2 2240t4 10080p2 5600a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1120o3

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	-	-	0	-2	2	8	8	6	0	-2	-6	8	-8	-2	8	-2	8	0	10	-16	16	10	-14

---

Quadratic twists for elliptic curve 1120o3

-4	8	-3	5	-7
1120l2	2240t4	10080p2	5600a3	7840q2

---

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