Cremona's table of elliptic curves

66240 = 2⁶ · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 23+	Signs for the Atkin-Lehner involutions
Class	66240g	Isogeny class
Conductor	66240	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	29953622016000000 = 227 · 33 · 56 · 232	Discriminant
Eigenvalues	2+ 3+ 5+ -4  0  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-535788,150721712]	[a1,a2,a3,a4,a6]
Generators	[61:10875:1]	Generators of the group modulo torsion
j	2403250125069123/4232000000	j-invariant
L	5.0471444685438	L(r)(E,1)/r!
Ω	0.3721166044267	Real period
R	3.3908352978845	Regulator
r	1	Rank of the group of rational points
S	0.99999999993421	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	66240ds2 2070m2 66240y4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 66240g2

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

---

Quadratic twists for elliptic curve 66240g2

-4	8	-3
66240ds2	2070m2	66240y4

---

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