Cremona's table of elliptic curves

12120 = 2³ · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 101+	Signs for the Atkin-Lehner involutions
Class	12120k	Isogeny class
Conductor	12120	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-118984464000000 = -1 · 210 · 36 · 56 · 1012	Discriminant
Eigenvalues	2- 3+ 5+ -4 -2  6  6  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,11344,-247044]	[a1,a2,a3,a4,a6]
j	157646424207164/116195765625	j-invariant
L	1.3223194664024	L(r)(E,1)/r!
Ω	0.3305798666006	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	24240h2 96960bq2 36360h2 60600m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 12120k2

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

---

Quadratic twists for elliptic curve 12120k2

-4	8	-3	5
24240h2	96960bq2	36360h2	60600m2

---

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