Cremona's table of elliptic curves

6120 = 2³ · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 17+	Signs for the Atkin-Lehner involutions
Class	6120k	Isogeny class
Conductor	6120	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3117404620800 = 211 · 36 · 52 · 174	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-10467,403326]	[a1,a2,a3,a4,a6]
Generators	[102:630:1]	Generators of the group modulo torsion
j	84944038338/2088025	j-invariant
L	4.2349862909679	L(r)(E,1)/r!
Ω	0.7971016102243	Real period
R	2.6564908643054	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	12240r3 48960be4 680a3 30600ch4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120k3

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	+	-4	8	-2	-8	2	-2	-4	0	-6	4	-6	4	8	2	0	-4	6	18

---

Quadratic twists for elliptic curve 6120k3

-4	8	-3	5	17
12240r3	48960be4	680a3	30600ch4	104040i4

---

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