Cremona's table of elliptic curves

1160 = 2³ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 5+ 29+	Signs for the Atkin-Lehner involutions
Class	1160d	Isogeny class
Conductor	1160	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	67280 = 24 · 5 · 292	Discriminant
Eigenvalues	2-  2 5+  4  0  6  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-11,-4]	[a1,a2,a3,a4,a6]
j	10061824/4205	j-invariant
L	2.7004000168986	L(r)(E,1)/r!
Ω	2.7004000168986	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	2320c1 9280k1 10440l1 5800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1160d1

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	0	6	0	0	-8	+	8	0	6	-2	-2	-6	12	-6	16	0	4	-8	8	-10	8

---

Quadratic twists for elliptic curve 1160d1

-4	8	-3	5	-7	29
2320c1	9280k1	10440l1	5800c1	56840n1	33640a1

---

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