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	6120w	Isogeny class
Conductor	6120	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-935221386240 = -1 · 210 · 37 · 5 · 174	Discriminant
Eigenvalues	2- 3- 5-  0  0 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2013,30926]	[a1,a2,a3,a4,a6]
Generators	[-5:144:1]	Generators of the group modulo torsion
j	1208446844/1252815	j-invariant
L	4.2812682006784	L(r)(E,1)/r!
Ω	0.58367203192447	Real period
R	1.8337644972307	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	12240t4 48960bw3 2040a4 30600m3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6120w4

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	0	-10	-8	-6	2	-8	0	-2	12	14	-8	-4	6	-16	-4	6	-2

---

Quadratic twists for elliptic curve 6120w4

-4	8	-3	5	17
12240t4	48960bw3	2040a4	30600m3	104040by3

---

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