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	6160d	Isogeny class
Conductor	6160	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	788480 = 211 · 5 · 7 · 11	Discriminant
Eigenvalues	2+  0 5- 7+ 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16427,-810374]	[a1,a2,a3,a4,a6]
Generators	[151:390:1]	Generators of the group modulo torsion
j	239369344910082/385	j-invariant
L	3.9833889083525	L(r)(E,1)/r!
Ω	0.42170620417327	Real period
R	4.7229432113308	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3080e4 24640z4 55440g4 30800l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160d3

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

---

Quadratic twists for elliptic curve 6160d3

-4	8	-3	5	-7	-11
3080e4	24640z4	55440g4	30800l4	43120i4	67760p4

---

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