Cremona's table of elliptic curves

6160 = 2⁴ · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2- 5- 7- 11-	Signs for the Atkin-Lehner involutions
Class	6160q	Isogeny class
Conductor	6160	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	-67760 = -1 · 24 · 5 · 7 · 112	Discriminant
Eigenvalues	2-  0 5- 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,8,-9]	[a1,a2,a3,a4,a6]
Generators	[260:609:64]	Generators of the group modulo torsion
j	3538944/4235	j-invariant
L	4.2406202986764	L(r)(E,1)/r!
Ω	1.8657484112325	Real period
R	4.5457579094227	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	1540a1 24640bl1 55440dj1 30800bj1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160q1

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

---

Quadratic twists for elliptic curve 6160q1

-4	8	-3	5	-7	-11
1540a1	24640bl1	55440dj1	30800bj1	43120bm1	67760bw1

---

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